{"id":38031,"date":"2025-08-01T12:41:00","date_gmt":"2025-08-01T05:41:00","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=38031"},"modified":"2025-08-02T08:06:58","modified_gmt":"2025-08-02T01:06:58","slug":"dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/","title":{"rendered":"\u0110\u1ea1o h\u00e0m Logarit: \u0110\u1ecbnh ngh\u0129a, c\u00e1c d\u1ea1ng to\u00e1n th\u01b0\u1eddng g\u1eb7p &amp; b\u00e0i t\u1eadp c\u00f3 \u0111\u00e1p \u00e1n"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Kien_thuc_ve_dao_ham_can_nho\" >Ki\u1ebfn th\u1ee9c v\u1ec1 \u0111\u1ea1o h\u00e0m c\u1ea7n nh\u1edb<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Phai_sinh_la_gi\" >Ph\u00e1i sinh l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Cach_tinh_toan_dao_ham_tai_mot_diem\" >C\u00e1ch t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m t\u1ea1i m\u1ed9t \u0111i\u1ec3m<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Cong_thuc_phai_sinh_cua_mot_so_chuc_nang_co_ban\" >C\u00f4ng th\u1ee9c ph\u00e1i sinh c\u1ee7a m\u1ed9t s\u1ed1 ch\u1ee9c n\u0103ng c\u01a1 b\u1ea3n<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Kien_thuc_ve_cac_ham_logarit_de_ghi_nho\" >Ki\u1ebfn th\u1ee9c v\u1ec1 c\u00e1c h\u00e0m logarit \u0111\u1ec3 ghi nh\u1edb<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Dinh_nghia_va_xac_dinh_ham_logarit\" >\u0110\u1ecbnh ngh\u0129a v\u00e0 x\u00e1c \u0111\u1ecbnh h\u00e0m logarit<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Bieu_do_chuc_nang_logarit\" >Bi\u1ec3u \u0111\u1ed3 ch\u1ee9c n\u0103ng logarit<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Ly_thuyet_day_du_ve_dao_ham_logarit\" >L\u00fd thuy\u1ebft \u0111\u1ea7y \u0111\u1ee7 v\u1ec1 \u0111\u1ea1o h\u00e0m logarit<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Cac_dan_xuat_logarit_la_gi\" >C\u00e1c d\u1eabn xu\u1ea5t logarit l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Ban_chat_cua_dan_xuat_logarit\" >B\u1ea3n ch\u1ea5t c\u1ee7a d\u1eabn xu\u1ea5t logarit<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Dao_ham_logarit_day_du_va_chi_tiet_nhat\" >\u0110\u1ea1o h\u00e0m logarit \u0111\u1ea7y \u0111\u1ee7 v\u00e0 chi ti\u1ebft nh\u1ea5t<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Cac_loai_dan_xuat_logarit_pho_bien_voi_cac_giai_phap\" >C\u00e1c lo\u1ea1i d\u1eabn xu\u1ea5t logarit ph\u1ed5 bi\u1ebfn (v\u1edbi c\u00e1c gi\u1ea3i ph\u00e1p)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Mau_1_Tim_tap_hop_tap_hop_cua_ham_logarit\" >M\u1eabu 1: T\u00ecm t\u1eadp h\u1ee3p t\u1eadp h\u1ee3p c\u1ee7a h\u00e0m logarit<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Mau_2_Khao_sat_cac_dan_xuat_logarit\" >M\u1eabu 2: Kh\u1ea3o s\u00e1t c\u00e1c d\u1eabn xu\u1ea5t logarit<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Mau_3_dao_ham_cua_ham_logarit\" >M\u1eabu 3: \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m logarit<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Cach_don_gian_nhat_de_chup_may_tinh_logarit\" >C\u00e1ch \u0111\u01a1n gi\u1ea3n nh\u1ea5t \u0111\u1ec3 ch\u1ee5p m\u00e1y t\u00ednh logarit<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.ckconitsha.com\/vn\/dao-ham-logarit-dinh-nghia-cac-dang-toan-thuong-gap-bai-tap-co-dap-an\/#Giup_con_ban_hoc_mot_nen_tang_toan_hoc_vung_chac_truoc_khi_tiep_can_cong_cu_phai_sinh_va_logarit_voi_toan_hoc\" >Gi\u00fap con b\u1ea1n h\u1ecdc m\u1ed9t n\u1ec1n t\u1ea3ng to\u00e1n h\u1ecdc v\u1eefng ch\u1eafc tr\u01b0\u1edbc khi ti\u1ebfp c\u1eadn c\u00f4ng c\u1ee5 ph\u00e1i sinh v\u00e0 logarit v\u1edbi to\u00e1n h\u1ecdc<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>C\u00e1c d\u1eabn xu\u1ea5t logarit l\u00e0 m\u1ed9t trong nh\u1eefng ph\u1ea7n ki\u1ebfn th\u1ee9c ch\u00ednh \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i l\u00e0 k\u1ef3 thi c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia. Do \u0111\u00f3, sinh vi\u00ean c\u1ea7n t\u00edch c\u1ef1c h\u1ecdc t\u1eadp v\u00e0 th\u1ef1c h\u00e0nh th\u01b0\u1eddng xuy\u00ean \u0111\u1ec3 kh\u00f4ng c\u00f2n ng\u1ea1c nhi\u00ean khi g\u1eb7p c\u00e1c lo\u1ea1i b\u00e0i vi\u1ebft trong n\u1ed9i dung n\u00e0y. V\u00ec v\u1eady, b\u00e0i vi\u1ebft sau \u0111\u00e2y, Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef s\u1ebd gi\u00fap b\u1ea1n d\u1ec5 d\u00e0ng l\u00e0m ch\u1ee7 \u0111\u1ea1o h\u00e0m logic!<\/p>\n<p>                                    <img decoding=\"async\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/image\/600x480_(1).png\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Kien_thuc_ve_dao_ham_can_nho\"><\/span>Ki\u1ebfn th\u1ee9c v\u1ec1 \u0111\u1ea1o h\u00e0m c\u1ea7n nh\u1edb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phai_sinh_la_gi\"><\/span>Ph\u00e1i sinh l\u00e0 g\u00ec? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u00e2y \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n nh\u01b0ng c\u1ea7n ph\u1ea3i n\u1eafm b\u1eaft ch\u1eafc ch\u1eafn \u0111\u1ec3 t\u00ecm hi\u1ec3u n\u1ed9i dung n\u00e2ng cao h\u01a1n sau n\u00e0y. Theo \u0111\u00f3, trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc ph\u00e2n t\u00edch, \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a l\u00e0 bi\u1ebfn th\u1ec3 c\u1ee7a h\u00e0m t\u1ea1i b\u1ea5t k\u1ef3 \u0111i\u1ec3m n\u00e0o.<\/p>\n<p dir=\"ltr\">T\u1eeb \u0111\u00e2y, ch\u00fang t\u00f4i c\u00f3 kh\u00e1i ni\u1ec7m chi ti\u1ebft sau \u0111\u00e2y: <\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/01-dao-ham-logarit.png\" alt=\"Kh\u00e1i ni\u1ec7m ph\u00e1i sinh t\u1ea1i b\u1ea5t k\u1ef3 \u0111i\u1ec3m n\u00e0o. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet) \" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cach_tinh_toan_dao_ham_tai_mot_diem\"><\/span>C\u00e1ch t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m t\u1ea1i m\u1ed9t \u0111i\u1ec3m<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">D\u1ef1a tr\u00ean kh\u00e1i ni\u1ec7m \u0111\u00e3 n\u00f3i \u1edf tr\u00ean, m\u1ed9t t\u00ednh to\u00e1n ch\u1ee9c n\u0103ng \u0111\u00e3 \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng \u0111\u1ec3 b\u1ea1n c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng \u00e1p d\u1ee5ng v\u00e0 nh\u1eadn k\u1ebft qu\u1ea3 \u0111\u01b0\u1ee3c t\u00ecm th\u1ea5y. C\u00f4ng th\u1ee9c bao g\u1ed3m 3 b\u01b0\u1edbc ch\u00ednh: <\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u01b0\u1edbc 1: Ch\u00fang t\u00f4i gi\u1ea3 s\u1eed x l\u00e0 s\u1ed1 l\u01b0\u1ee3ng \u0111\u1ed1i s\u1ed1 t\u1ea1i \u0111i\u1ec3m x0. T\u1eeb \u0111\u00f3 thay \u0111\u1ed5i th\u00e0nh nh\u01b0 sau: y = f (x0+x) f (x0)<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u01b0\u1edbc 2: \u0110i\u1ec3m s\u1ebd l\u00e0 (Delta Y)\/ (Delta X)<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u01b0\u1edbc 3: \u0110\u00e2y c\u0169ng l\u00e0 b\u01b0\u1edbc cu\u1ed1i c\u00f9ng trong vi\u1ec7c t\u00ecm ki\u1ebfm m\u1ed9t \u0111\u1ea1o h\u00e0m d\u1ef1a tr\u00ean kh\u00e1i ni\u1ec7m \u0111\u00e3 cho. C\u1ee5 th\u1ec3, ch\u00fang t\u00f4i t\u00ednh to\u00e1n lim (delta x -&gt; 0) = (delta y)\/ (delta x)<\/p>\n<\/li>\n<\/ul>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_phai_sinh_cua_mot_so_chuc_nang_co_ban\"><\/span>C\u00f4ng th\u1ee9c ph\u00e1i sinh c\u1ee7a m\u1ed9t s\u1ed1 ch\u1ee9c n\u0103ng c\u01a1 b\u1ea3n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Ngo\u00e0i ra, ch\u00fang t\u00f4i c\u0169ng c\u00f3 c\u00e1c c\u00f4ng th\u1ee9c \u0111\u00e3 \u0111\u01b0\u1ee3c ch\u1ee9ng minh v\u00e0 cho ph\u00e9p sinh vi\u00ean \u00e1p d\u1ee5ng \u0111\u1ec3 t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m c\u1ee7a m\u1ed9t s\u1ed1 ch\u1ee9c n\u0103ng c\u01a1 b\u1ea3n. V\u00ec v\u1eady, b\u1ea1n c\u1ea7n ghi nh\u1edb c\u0169ng nh\u01b0 hi\u1ec3u b\u1ea3n ch\u1ea5t c\u1ee7a c\u00e1c c\u00f4ng th\u1ee9c \u0111\u00e3 cho. Do \u0111\u00f3, sinh vi\u00ean s\u1ebd linh ho\u1ea1t trong m\u1ed7i lo\u1ea1i b\u00e0i t\u1eadp v\u00e0 nhanh h\u01a1n trong m\u1ed7i b\u01b0\u1edbc t\u00ednh to\u00e1n. <\/p>\n<p dir=\"ltr\">D\u01b0\u1edbi \u0111\u00e2y, kh\u1ec9 t\u00f3m t\u1eaft b\u1ea3ng c\u1ee7a c\u00e1c c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng chung. V\u00e0 ph\u1ed5 bi\u1ebfn nh\u1ea5t c\u1ee7a h\u00e0m ch\u00ednh v\u00e0 h\u00e0m li\u00ean h\u1ee3p trong n\u1ed9i dung ph\u00e2n t\u00edch. <\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/02-dao-ham-logarit.jpg\" alt=\"B\u1ea3ng c\u1ee7a c\u00e1c c\u00f4ng th\u1ee9c ch\u1ee9c n\u0103ng chung. (\u1ea2nh: Daoham.com)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Kien_thuc_ve_cac_ham_logarit_de_ghi_nho\"><\/span>Ki\u1ebfn th\u1ee9c v\u1ec1 c\u00e1c h\u00e0m logarit \u0111\u1ec3 ghi nh\u1edb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"Dinh_nghia_va_xac_dinh_ham_logarit\"><\/span>\u0110\u1ecbnh ngh\u0129a v\u00e0 x\u00e1c \u0111\u1ecbnh h\u00e0m logarit<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0110\u1ecbnh ngh\u0129a c\u1ee7a h\u00e0m logarit l\u00e0 n\u1ec1n t\u1ea3ng \u0111\u1ec3 x\u00e2y d\u1ef1ng c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n \u0111\u1ea1o h\u00e0m logarit. Theo ch\u01b0\u01a1ng tr\u00ecnh \u0111\u1ea1i s\u1ed1 c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc, tr\u1ebb em \u0111\u00e3 h\u1ecdc, ch\u1ee9c n\u0103ng logarit c\u00f3 \u0111\u1ecbnh ngh\u0129a sau:<\/p>\n<p><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/bs1-dao-ham-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Bieu_do_chuc_nang_logarit\"><\/span>Bi\u1ec3u \u0111\u1ed3 ch\u1ee9c n\u0103ng logarit<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/bs2-dao-ham-logarit.png\" alt=\"\" width=\"268\" height=\"203\"><\/p>\n<p>Trong \u0111\u00f3:<\/p>\n<ul>\n<li>Bi\u1ec3u \u0111\u1ed3 c\u1ee7a h\u00e0m ti\u1ec7m c\u1eadn d\u1ecdc l\u00e0 tr\u1ee5c OY v\u00e0 lu\u00f4n \u0111i qua c\u00e1c \u0111i\u1ec3m (1: 0) v\u00e0 (a; 1), \u1edf ph\u00eda b\u00ean ph\u1ea3i c\u1ee7a tr\u1ee5c d\u1ecdc.<\/li>\n<li>Bi\u1ec3u \u0111\u1ed3 c\u1ee7a tr\u1ee5c th\u1eb3ng \u0111\u1ee9ng l\u00e0 m\u1ed9t ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/li>\n<\/ul>\n<p>Nh\u1eadn x\u00e9t: \u0110\u1ed3 th\u1ecb ch\u1ee9c n\u0103ng y = a^x v\u00e0 y = loga (x) (0<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ly_thuyet_day_du_ve_dao_ham_logarit\"><\/span>L\u00fd thuy\u1ebft \u0111\u1ea7y \u0111\u1ee7 v\u1ec1 \u0111\u1ea1o h\u00e0m logarit<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">V\u00ec v\u1eady, ch\u00fang t\u00f4i bi\u1ebft kh\u00e1i ni\u1ec7m c\u1ee7a ph\u00e1i sinh l\u00e0 g\u00ec. B\u00ean c\u1ea1nh \u0111\u00f3, c\u00f3 c\u00e1c c\u00f4ng th\u1ee9c cho ch\u1ee9c n\u0103ng ch\u00ednh v\u00e0 ch\u1ee9c n\u0103ng m\u00e0 sinh vi\u00ean th\u01b0\u1eddng g\u1eb7p. B\u1ea1n ghi nh\u1edb ki\u1ebfn th\u1ee9c \u1edf tr\u00ean m\u1ed9t c\u00e1ch c\u1ea9n th\u1eadn tr\u01b0\u1edbc khi chuy\u1ec3n sang n\u1ed9i dung c\u1ee7a logarit ph\u00e1i sinh v\u1edbi nhi\u1ec1u h\u00ecnh th\u1ee9c kh\u00f3 kh\u0103n v\u00e0 ph\u1ee9c t\u1ea1p h\u01a1n.<\/p>\n<p dir=\"ltr\">Ngay b\u00ean d\u01b0\u1edbi, kh\u1ec9 s\u1ebd cung c\u1ea5p cho sinh vi\u00ean \u0111\u1ecbnh ngh\u0129a c\u0169ng nh\u01b0 c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n c\u1ee7a \u0111\u1ee9c h\u1ea1nh!<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_dan_xuat_logarit_la_gi\"><\/span>C\u00e1c d\u1eabn xu\u1ea5t logarit l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">N\u00f3i m\u1ed9t c\u00e1ch \u0111\u01a1n gi\u1ea3n, h\u00e0m logarit l\u00e0 m\u1ed9t h\u00e0m \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng logarit. C\u1ee5 th\u1ec3, v\u1edbi m\u1ed9t s\u1ed1 th\u1ef1c A (a&gt; 0; a 1; x&gt; 0), ch\u00fang ta c\u00f3 h\u00e0m y = logax \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a l\u00e0 h\u00e0m logarit c\u01a1 a. T\u1eeb \u0111\u00e2y, \u0111\u1ea1o h\u00e0m logarit l\u00e0 c\u00f4ng th\u1ee9c y &#039;= 1\/xlna.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ban_chat_cua_dan_xuat_logarit\"><\/span>B\u1ea3n ch\u1ea5t c\u1ee7a d\u1eabn xu\u1ea5t logarit <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u00e2y l\u00e0 c\u00e1c thu\u1ed9c t\u00ednh c\u1ee7a d\u1eabn xu\u1ea5t logarit c\u01a1 b\u1ea3n \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong c\u00e1c lo\u1ea1i b\u00e0i vi\u1ebft kh\u00e1c nhau. H\u1ecdc sinh ch\u00fa \u00fd \u0111\u1ebfn ghi nh\u1edb \u0111\u1ec3 t\u00ednh to\u00e1n tr\u00ecnh \u0111\u1ed9 c\u1ee7a nh\u1eadt k\u00fd. <\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/03-dao-ham-logarit.png\" alt=\"\u0110\u1ea1o h\u00e0m logarit c\u01a1 b\u1ea3n cho sinh vi\u00ean. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dao_ham_logarit_day_du_va_chi_tiet_nhat\"><\/span>\u0110\u1ea1o h\u00e0m logarit \u0111\u1ea7y \u0111\u1ee7 v\u00e0 chi ti\u1ebft nh\u1ea5t<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">V\u00ec v\u1eady, b\u1ea1n v\u00e0 kh\u1ec9 \u0111\u00e3 t\u00ecm hi\u1ec3u v\u1ec1 kh\u00e1i ni\u1ec7m \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m logarit. Ti\u1ebfp theo, ch\u00fang ta s\u1ebd t\u00ecm hi\u1ec3u v\u1ec1 b\u1ea3ng d\u1eabn xu\u1ea5t logarit m\u00e0 kh\u1ec9 \u0111\u00e3 t\u1ed5ng h\u1ee3p v\u00e0 ch\u1ecdn \u0111\u1ea7y \u0111\u1ee7 v\u00e0 ch\u00ednh x\u00e1c nh\u1ea5t. <\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/04-dao-ham-logarit.png\" alt=\"C\u00e1c c\u00f4ng th\u1ee9c logarit ph\u1ed5 bi\u1ebfn. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">L\u01b0u \u00fd, \u0111\u1ec3 gi\u00fap ghi nh\u1edb t\u1ed1t h\u01a1n trong qu\u00e1 tr\u00ecnh h\u1ecdc t\u1eadp, sinh vi\u00ean n\u00ean t\u00ecm ph\u01b0\u01a1ng ph\u00e1p t\u1ed1t nh\u1ea5t cho ch\u00ednh h\u1ecd. V\u00ed d\u1ee5, vi\u1ebft c\u00f4ng th\u1ee9c tr\u00ean gi\u1ea5y b\u1ed9 nh\u1edb v\u00e0 d\u00e1n l\u00ean g\u01b0\u01a1ng ho\u1eb7c b\u00e0n \u0111\u1ec3 xem m\u1ed7i ng\u00e0y.<\/p>\n<p dir=\"ltr\">Ho\u1eb7c \u0111\u1eb7t ra cho m\u1ee5c ti\u00eau ghi nh\u1edb 2 c\u00f4ng th\u1ee9c logarit m\u1ed7i ng\u00e0y. Nh\u1edd \u0111\u00f3, b\u1ea1n s\u1ebd \u0111\u01b0\u1ee3c th\u00fac \u0111\u1ea9y v\u00e0 quy\u1ebft t\u00e2m th\u00fac \u0111\u1ea9y b\u1ea3n th\u00e2n cho \u0111\u1ebfn khi b\u1ea1n nh\u1edb \u0111\u1ea7y \u0111\u1ee7 c\u00e1c b\u1ea3ng ch\u1ee9c n\u0103ng nh\u1eadt k\u00fd. <\/p>\n<p dir=\"ltr\">Xem th\u00eam: \u0110\u1ea1o h\u00e0m l\u00e0 g\u00ec? Kh\u00e1i ni\u1ec7m v\u00e0 c\u00f4ng th\u1ee9c t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_loai_dan_xuat_logarit_pho_bien_voi_cac_giai_phap\"><\/span>C\u00e1c lo\u1ea1i d\u1eabn xu\u1ea5t logarit ph\u1ed5 bi\u1ebfn (v\u1edbi c\u00e1c gi\u1ea3i ph\u00e1p)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 ghi nh\u1edb c\u00e1c c\u00f4ng th\u1ee9c logarit l\u00e0 kh\u00f3 kh\u0103n, kh\u00f3 kh\u0103n h\u01a1n \u0111\u1ec3 bi\u1ebft c\u00e1ch l\u00e0m v\u00e0 \u00e1p d\u1ee5ng trong to\u00e1n h\u1ecdc \u0111\u1ec3 th\u00e1ch th\u1ee9c h\u1ecdc sinh. Do \u0111\u00f3, b\u1ea1n n\u00ean k\u1ebft h\u1ee3p ghi nh\u1edb c\u00f4ng th\u1ee9c v\u00e0 th\u1ef1c h\u00e0nh th\u01b0\u1eddng xuy\u00ean v\u1edbi nhi\u1ec1u lo\u1ea1i b\u00e0i t\u1eadp kh\u00e1c nhau \u0111\u1ec3 t\u1ea1o th\u00e0nh th\u00f3i quen d\u1eabn xu\u1ea5t logarit. <\/p>\n<p dir=\"ltr\">D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 lo\u1ea1i b\u00e0i t\u1eadp ph\u1ed5 bi\u1ebfn trong gi\u1ea3i ph\u00e1p m\u00e0 kh\u1ec9 cung c\u1ea5p cho h\u1ecdc sinh. Vui l\u00f2ng tham kh\u1ea3o v\u00e0 c\u1ed1 g\u1eafng t\u00ecm nhi\u1ec1u t\u00ednh to\u00e1n kh\u00e1c cho m\u1ed7i h\u00e0m nh\u1eadt k\u00fd (u) ngo\u1ea1i tuy\u1ebfn!<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_1_Tim_tap_hop_tap_hop_cua_ham_logarit\"><\/span>M\u1eabu 1: T\u00ecm t\u1eadp h\u1ee3p t\u1eadp h\u1ee3p c\u1ee7a h\u00e0m logarit <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/05-dao-ham-logarit.png\" alt=\"T\u1eadp th\u1ec3 d\u1ee5c t\u00ecm ki\u1ebfm m\u1ed9t t\u1eadp h\u1ee3p c\u00e1c h\u00e0m logarit. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet) \" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_2_Khao_sat_cac_dan_xuat_logarit\"><\/span>M\u1eabu 2: Kh\u1ea3o s\u00e1t c\u00e1c d\u1eabn xu\u1ea5t logarit<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/06-dao-ham-logarit.jpg\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/07-dao-ham-logarit.jpg\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/08-dao-ham-logarit.jpg\" alt=\"Kh\u1ea3o s\u00e1t bi\u1ec3u \u0111\u1ed3 ch\u1ee9c n\u0103ng logarit. (\u1ea2nh: vnhoctap.com)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_3_dao_ham_cua_ham_logarit\"><\/span>M\u1eabu 3: \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m logarit <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/09-dao-ham-logarit.jpg\" alt=\"T\u00ecm \u0111\u1ea1o h\u00e0m c\u1ee7a h\u00e0m logarit. (\u1ea2nh: vnhoctap.com)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">T\u1ea3i xu\u1ed1ng ngay &gt;&gt;&gt; B\u00e0i t\u1eadp ma thu\u1eadt &#8211; H\u00e0m logarit (T\u1ea3i xu\u1ed1ng PDF mi\u1ec5n ph\u00ed !!!)<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cach_don_gian_nhat_de_chup_may_tinh_logarit\"><\/span>C\u00e1ch \u0111\u01a1n gi\u1ea3n nh\u1ea5t \u0111\u1ec3 ch\u1ee5p m\u00e1y t\u00ednh logarit<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">M\u1ed9t \u1ee9ng d\u1ee5ng r\u1ea5t t\u1ed1t c\u1ee7a m\u1ed9t m\u00e1y t\u00ednh c\u1ea7m tay l\u00e0 h\u1ed7 tr\u1ee3 sinh vi\u00ean trong \u0111\u1ea1o h\u00e0m logarit. Ch\u1ec9 v\u1edbi m\u1ed9t v\u00e0i b\u01b0\u1edbc \u0111\u01a1n gi\u1ea3n, b\u1ea1n \u0111\u00e3 cho m\u00ecnh k\u1ebft qu\u1ea3 c\u1ee7a c\u00e1c b\u00e0i t\u1eadp v\u00e0 \u0111\u1ecbnh h\u01b0\u1edbng ch\u1ee9c n\u0103ng logarit c\u01a1 b\u1ea3n cho c\u00e1c b\u00e0i t\u1eadp n\u00e2ng cao h\u01a1n. H\u00e3y kh\u00e1m ph\u00e1 c\u00e1ch b\u1eafn \u0111\u1ea1o h\u00e0m logarit d\u01b0\u1edbi \u0111\u00e2y. <\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/10-dao-ham-logarit.png\" alt=\"C\u00e1ch nh\u1ea5n m\u00e1y t\u00ednh d\u1eabn xu\u1ea5t logarit. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Do \u0111\u00f3, khi th\u1ef1c hi\u1ec7n b\u00e0i ki\u1ec3m tra b\u1ed9i s\u1ed1 c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia, h\u1ecdc sinh n\u00ean s\u1eed d\u1ee5ng d\u1eabn xu\u1ea5t logarit \u0111\u1ec3 t\u1ea1o ra k\u1ebft qu\u1ea3 nhanh h\u01a1n v\u00e0 ch\u00ednh x\u00e1c h\u01a1n. Ngo\u00e0i ra, b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o c\u00e1c video tr\u00ean YouTube ho\u1eb7c c\u00e1c b\u00e0i gi\u1ea3ng c\u1ee7a gi\u00e1o vi\u00ean \u0111\u1ec3 t\u00ecm hi\u1ec3u th\u00eam c\u00e1c m\u1eb9o th\u00fa v\u1ecb h\u01a1n khi gi\u1ea3i quy\u1ebft \u0111\u1ea1o h\u00e0m logarit b\u1eb1ng m\u00e1y t\u00ednh. <\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Giup_con_ban_hoc_mot_nen_tang_toan_hoc_vung_chac_truoc_khi_tiep_can_cong_cu_phai_sinh_va_logarit_voi_toan_hoc\"><\/span>Gi\u00fap con b\u1ea1n h\u1ecdc m\u1ed9t n\u1ec1n t\u1ea3ng to\u00e1n h\u1ecdc v\u1eefng ch\u1eafc tr\u01b0\u1edbc khi ti\u1ebfp c\u1eadn c\u00f4ng c\u1ee5 ph\u00e1i sinh v\u00e0 logarit v\u1edbi to\u00e1n h\u1ecdc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"\" data-start=\"103\" data-end=\"477\">C\u00e1c \u0111\u1ea1o h\u00e0m v\u00e0 logarit l\u00e0 ki\u1ebfn th\u1ee9c n\u00e2ng cao, \u0111\u00f2i h\u1ecfi m\u1ed9t n\u1ec1n t\u1ea3ng to\u00e1n h\u1ecdc v\u1eefng ch\u1eafc ngay t\u1eeb tr\u01b0\u1eddng ti\u1ec3u h\u1ecdc. V\u1edbi Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math &#8211; \u00c1p d\u1ee5ng to\u00e1n h\u1ecdc ti\u1ebfng Anh cho tr\u1ebb em t\u1eeb 3 \u0111\u1ebfn 8 tu\u1ed5i, tr\u1ebb em s\u1ebd \u0111\u01b0\u1ee3c trang b\u1ecb suy ngh\u0129 logic, kh\u1ea3 n\u0103ng t\u00ednh to\u00e1n v\u00e0 l\u00e0m quen v\u1edbi c\u00e1c kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n nh\u01b0 s\u1ed1, t\u00ednh to\u00e1n, \u0111o l\u01b0\u1eddng, d\u1eef li\u1ec7u, h\u00ecnh h\u1ecdc &#8230; theo c\u00e1ch c\u00f3 ph\u01b0\u01a1ng ph\u00e1p, tr\u1ef1c quan v\u00e0 s\u1ed1ng \u0111\u1ed9ng.<\/p>\n<p class=\"\" data-start=\"479\" data-end=\"722\">Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math cung c\u1ea5p h\u01a1n 400 b\u00e0i h\u1ecdc v\u00e0 h\u01a1n 10.000 ho\u1ea1t \u0111\u1ed9ng t\u01b0\u01a1ng t\u00e1c, gi\u00fap tr\u1ebb t\u1ea1o th\u00e0nh m\u1ed9t n\u1ec1n t\u1ea3ng t\u01b0 duy to\u00e1n h\u1ecdc v\u1eefng ch\u1eafc &#8211; m\u1ed9t ti\u1ec1n \u0111\u1ec1 quan tr\u1ecdng \u0111\u1ec3 d\u1ec5 d\u00e0ng truy c\u1eadp v\u00e0 t\u00ecm hi\u1ec3u ki\u1ebfn th\u1ee9c ph\u1ee9c t\u1ea1p h\u01a1n nh\u01b0 ph\u00e1i sinh, logarit sau n\u00e0y.<\/p>\n<p class=\"\" style=\"text-align: center\" data-start=\"1187\" data-end=\"1270\"><a href=\"https:\/\/www.youtube.com\/watch?v=7DSJPVHFROS\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=7DSJPVHFROS<\/a><\/p>\n<p class=\"\" data-start=\"724\" data-end=\"774\">T\u1ea1i sao em b\u00e9 c\u1ee7a b\u1ea1n n\u00ean h\u1ecdc to\u00e1n v\u1edbi to\u00e1n h\u1ecdc kh\u1ec9?<\/p>\n<ul data-start=\"775\" data-end=\"1075\">\n<li class=\"\" data-start=\"775\" data-end=\"870\">\n<p class=\"\" data-start=\"777\" data-end=\"870\">B\u00e0i h\u1ecdc \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng theo ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi, ti\u00eau chu\u1ea9n h\u00f3a v\u00e0 phi t\u1eadp trung<\/p>\n<\/li>\n<li class=\"\" data-start=\"871\" data-end=\"952\">\n<p class=\"\" data-start=\"873\" data-end=\"952\">H\u1ecdc qua c\u00e1c video ho\u1ea1t h\u00ecnh, tr\u00f2 ch\u01a1i, b\u00e0i t\u1eadp t\u01b0\u01a1ng t\u00e1c gi\u00fap b\u1ea1n d\u1ec5 hi\u1ec3u &#8211; h\u00e3y nh\u1edb trong m\u1ed9t th\u1eddi gian d\u00e0i<\/p>\n<\/li>\n<li class=\"\" data-start=\"953\" data-end=\"1019\">\n<p class=\"\" data-start=\"955\" data-end=\"1019\">Ph\u00e1t tri\u1ec3n to\u00e1n h\u1ecdc v\u00e0 ti\u1ebfng Anh c\u00f9ng m\u1ed9t l\u00fac<\/p>\n<\/li>\n<li class=\"\" data-start=\"1020\" data-end=\"1075\">\n<p class=\"\" data-start=\"1022\" data-end=\"1075\">C\u00f3 th\u1ec3 h\u1ecdc m\u1ecdi l\u00fac, m\u1ecdi n\u01a1i, kh\u00f4ng c\u00f3 k\u1ebft n\u1ed1i m\u1ea1ng<\/p>\n<\/li>\n<\/ul>\n<p class=\"\" style=\"text-align: center\" data-start=\"1077\" data-end=\"1185\"><em>H\u1ecdc to\u00e1n s\u1edbm v\u1edbi ph\u01b0\u01a1ng ph\u00e1p \u0111\u00fang s\u1ebd gi\u00fap con b\u1ea1n t\u1ef1 tin chinh ph\u1ee5c t\u1ea5t c\u1ea3 ki\u1ebfn th\u1ee9c h\u1ecdc t\u1eadp trong t\u01b0\u01a1ng lai!<\/em><\/p>\n<p class=\"\" style=\"text-align: center\" data-start=\"1187\" data-end=\"1270\">T\u1ea3i xu\u1ed1ng Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math ngay b\u00e2y gi\u1edd \u0111\u1ec3 t\u1ea1o ra m\u1ed9t n\u1ec1n t\u1ea3ng to\u00e1n h\u1ecdc v\u1eefng ch\u1eafc cho em b\u00e9 c\u1ee7a b\u1ea1n t\u1eeb h\u00f4m nay!<\/p>\n<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/storage_web\/12-12-2022_01:16:45_monkey-math.jpg\" alt=\"Shining Home - Gia \u0111\u00ecnh Anh Ng\u1eef Math - \u1ee8ng d\u1ee5ng h\u1ecdc to\u00e1n b\u1eb1ng ti\u1ebfng Anh. (\u1ea2nh: Kh\u1ec9)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Th\u00f4ng qua b\u00e0i vi\u1ebft tr\u00ean, Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef \u0111\u00e3 cung c\u1ea5p cho \u0111\u1ed9c gi\u1ea3 v\u1ec1 kh\u00e1i ni\u1ec7m, c\u00f4ng th\u1ee9c logarit v\u00e0 c\u00e1c lo\u1ea1i b\u00e0i t\u1eadp ph\u1ed5 bi\u1ebfn nh\u1ea5t. B\u00ean c\u1ea1nh \u0111\u00f3, ch\u00fang t\u00f4i c\u0169ng \u0111\u00e3 h\u1ecdc c\u00e1ch b\u1eafn m\u00e1y t\u00ednh \u0111\u1ec3 \u0111\u01a1n gi\u1ea3n h\u00f3a qu\u00e1 tr\u00ecnh NEPE logarit. Hy v\u1ecdng, v\u1edbi ki\u1ebfn th\u1ee9c h\u1eefu \u00edch n\u00e0y, sinh vi\u00ean s\u1ebd h\u1ecdc t\u1eadp ch\u0103m ch\u1ec9 m\u1ed7i ng\u00e0y \u0111\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 t\u1ed1t nh\u1ea5t.<\/p>\n<p>Ngu\u1ed3n: <a href=\"http:\/\/www.ckconitsha.com\/vn\/\">http:\/\/www.ckconitsha.com\/vn\/<\/a> T\u00e1c gi\u1ea3: <a href=\"https:\/\/www.ckconitsha.com\/vn\/author\/nguyenlandung\">Nguy\u1ec5n L\u00e2n d\u0169ng<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>C\u00e1c d\u1eabn xu\u1ea5t logarit l\u00e0 m\u1ed9t trong nh\u1eefng ph\u1ea7n ki\u1ebfn th\u1ee9c ch\u00ednh \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i l\u00e0 k\u1ef3 thi c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia. Do \u0111\u00f3, sinh vi\u00ean c\u1ea7n t\u00edch c\u1ef1c h\u1ecdc t\u1eadp v\u00e0 th\u1ef1c h\u00e0nh th\u01b0\u1eddng xuy\u00ean \u0111\u1ec3 kh\u00f4ng c\u00f2n ng\u1ea1c nhi\u00ean khi g\u1eb7p c\u00e1c lo\u1ea1i b\u00e0i vi\u1ebft trong n\u1ed9i dung n\u00e0y. V\u00ec v\u1eady,&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[100],"tags":[],"class_list":["post-38031","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/38031","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/comments?post=38031"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/38031\/revisions"}],"predecessor-version":[{"id":38323,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/38031\/revisions\/38323"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=38031"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=38031"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=38031"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}