{"id":13470,"date":"2025-06-02T12:55:46","date_gmt":"2025-06-02T05:55:46","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=13470"},"modified":"2025-07-02T13:35:04","modified_gmt":"2025-07-02T06:35:04","slug":"chuyen-de-ham-so-mu-va-logarit-on-thi-thpt-quoc-gia-mon-toan-day-du","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-ham-so-mu-va-logarit-on-thi-thpt-quoc-gia-mon-toan-day-du\/","title":{"rendered":"Chuy\u00ean \u0111\u1ec1 h\u00e0m s\u1ed1 m\u0169 v\u00e0 logarit \u00f4n thi THPT Qu\u1ed1c Gia m\u00f4n To\u00e1n: \u0110\u1ea6Y \u0110\u1ee6!"},"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\/chuyen-de-ham-so-mu-va-logarit-on-thi-thpt-quoc-gia-mon-toan-day-du\/#Chu_de_ve_cac_chuc_nang_theo_cap_so_nhan_va_logarit_trong_cau_truc_thi_toan_cua_truong_trung_hoc_quoc_gia_2024\" >Ch\u1ee7 \u0111\u1ec1 v\u1ec1 c\u00e1c ch\u1ee9c n\u0103ng theo c\u1ea5p s\u1ed1 nh\u00e2n v\u00e0 logarit trong c\u1ea5u tr\u00fac thi to\u00e1n c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia 2024<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-ham-so-mu-va-logarit-on-thi-thpt-quoc-gia-mon-toan-day-du\/#Chuc_nang\" >Ch\u1ee9c n\u0103ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-ham-so-mu-va-logarit-on-thi-thpt-quoc-gia-mon-toan-day-du\/#Ham_logarit\" >H\u00e0m logarit<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-ham-so-mu-va-logarit-on-thi-thpt-quoc-gia-mon-toan-day-du\/#Ham_ham_mu_va_ham_logarit\" >H\u00e0m h\u00e0m m\u0169 v\u00e0 h\u00e0m logarit<\/a><\/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\/chuyen-de-ham-so-mu-va-logarit-on-thi-thpt-quoc-gia-mon-toan-day-du\/#Phuong_trinh_so_mu_phuong_trinh_logarit\" >Ph\u01b0\u01a1ng tr\u00ecnh s\u1ed1 m\u0169, ph\u01b0\u01a1ng tr\u00ecnh logarit<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-ham-so-mu-va-logarit-on-thi-thpt-quoc-gia-mon-toan-day-du\/#Chua_hoan_thanh_%E2%80%93_logarit\" >Ch\u01b0a ho\u00e0n th\u00e0nh &#8211; logarit<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-ham-so-mu-va-logarit-on-thi-thpt-quoc-gia-mon-toan-day-du\/#Loai_van_de_lai_suat_trong_ham_so_mu_va_chuc_nang_logarit\" >Lo\u1ea1i v\u1ea5n \u0111\u1ec1 l\u00e3i su\u1ea5t trong h\u00e0m s\u1ed1 m\u0169 v\u00e0 ch\u1ee9c n\u0103ng logarit<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>B\u1ea1n \u0111ang \u0111\u1ea5u tranh \u0111\u1ec3 xem x\u00e9t k\u1ef3 thi to\u00e1n h\u1ecdc trung h\u1ecdc qu\u1ed1c gia, \u0111\u1eb7c bi\u1ec7t l\u00e0 ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 c\u00e1c ch\u1ee9c n\u0103ng theo c\u1ea5p s\u1ed1 nh\u00e2n v\u00e0 logarit? \u0110\u1eebng lo l\u1eafng! B\u00e0i vi\u1ebft n\u00e0y s\u1ebd l\u00e0 m\u1ed9t cu\u1ed1n s\u1ed5 tay \u0111\u1ea7y \u0111\u1ee7 v\u00e0 chi ti\u1ebft, gi\u00fap b\u1ea1n chinh ph\u1ee5c ch\u1ee7 \u0111\u1ec1 kh\u00f3 kh\u0103n n\u00e0y m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3 nh\u1ea5t, t\u1eeb \u0111\u00f3 t\u1ef1 tin tham gia k\u1ef3 thi v\u00e0 \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec3m s\u1ed1 cao.<\/p>\n<p>                        Xem t\u1ea5t c\u1ea3<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Chu_de_ve_cac_chuc_nang_theo_cap_so_nhan_va_logarit_trong_cau_truc_thi_toan_cua_truong_trung_hoc_quoc_gia_2024\"><\/span>Ch\u1ee7 \u0111\u1ec1 v\u1ec1 c\u00e1c ch\u1ee9c n\u0103ng theo c\u1ea5p s\u1ed1 nh\u00e2n v\u00e0 logarit trong c\u1ea5u tr\u00fac thi to\u00e1n c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia 2024<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Theo th\u00f4ng tin m\u1edbi nh\u1ea5t, \u0111\u01b0\u1ee3c t\u1ed5ng h\u1ee3p t\u1eeb b\u00e0i ki\u1ec3m tra tham kh\u1ea3o tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia n\u0103m 2024 m\u00f4n to\u00e1n \u0111\u01b0\u1ee3c xu\u1ea5t b\u1ea3n b\u1edfi B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u0110\u00e0o t\u1ea1o, c\u1ea5u tr\u00fac c\u1ee7a k\u1ef3 thi To\u00e1n h\u1ecdc trung h\u1ecdc qu\u1ed1c gia 2024 c\u00f3 kh\u00f3 kh\u0103n nh\u01b0 k\u1ef3 thi n\u0103m 2023. Trong \u0111\u00f3, n\u1ed9i dung c\u1ee7a h\u00e0m theo c\u1ea5p s\u1ed1 nh\u00e2n v\u00e0 logarit, s\u1ee9c m\u1ea1nh chi\u1ebfm kho\u1ea3ng 8 trong t\u1ed5ng s\u1ed1 50 c\u00e2u h\u1ecfi c\u00f3 trong b\u00e0i ki\u1ec3m tra, v\u1edbi 5 c\u00e2u \u1edf c\u1ea5p \u0111\u1ed9 c\u01a1 b\u1ea3n v\u00e0 3 c\u00e2u v\u1ec1 m\u1ee9c \u0111\u1ed9 hi\u1ec3u bi\u1ebft. Do \u0111\u00f3, n\u1ebfu b\u1ea1n mu\u1ed1n \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec3m s\u1ed1 cao, c\u00e1c \u1ee9ng c\u1eed vi\u00ean c\u1ea7n n\u1eafm b\u1eaft ki\u1ebfn \u200b\u200bth\u1ee9c theo ch\u1ee7 \u0111\u1ec1 v\u1ec1 ch\u1ee9c n\u0103ng logarit t\u1eeb l\u00fd thuy\u1ebft \u0111\u1ebfn b\u00e0i t\u1eadp.<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Chuc_nang\"><\/span>Ch\u1ee9c n\u0103ng<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">1. \u0110\u1ecbnh ngh\u0129a v\u1ec1 s\u1ee9c m\u1ea1nh d\u01b0 th\u1eeba l\u00e0 g\u00ec?<\/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\/1-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">2. M\u1ed9t s\u1ed1 thu\u1ed9c t\u00ednh d\u01b0 th\u1eeba:<\/p>\n<p dir=\"ltr\">\u0110\u1ed1i v\u1edbi a, b \u2260 0 v\u00e0 m, n \u2208 Z, ch\u00fang ta c\u00f3:<\/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\/2-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">3. T\u00ecm hi\u1ec3u v\u1ec1 c\u00e1c \u0111\u01a1n v\u1ecb N v\u00e0 N v\u01b0\u1ee3t qu\u00e1:<\/p>\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 10pt\">\u0110\u1ecbnh ngh\u0129a: Cho s\u1ed1 th\u1ef1c B v\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng N (n \u2265 2). S\u1ed1 A \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 n \u0111\u01a1n v\u1ecb c\u1ee7a s\u1ed1 B n\u1ebfu an = b.<\/p>\n<p dir=\"ltr\">M\u1ed9t s\u1ed1 ghi ch\u00fa quan tr\u1ecdng:<\/p>\n<p dir=\"ltr\" style=\"line-height: 1.7999999999999998;margin-top: 0pt;margin-bottom: 10pt\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/3-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ham_logarit\"><\/span>H\u00e0m logarit<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">1. \u0110\u1ecbnh ngh\u0129a logarit l\u00e0 g\u00ec?<\/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\/4-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">2. Thu\u1ed9c t\u00ednh c\u1ee7a logarit:<\/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\/5-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">3. Logarit logarit t\u1ef1 nhi\u00ean v\u00e0 th\u1eadp ph\u00e2n:<\/p>\n<ul style=\"margin-top: 0;margin-bottom: 0;padding-inline-start: 48px\">\n<li dir=\"ltr\" style=\"list-style-type: disc;font-size: 11pt;font-family: Arial,sans-serif;color: #000000;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\">\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 0pt\" role=\"presentation\">Logarit t\u1ef1 nhi\u00ean (c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 logarit) l\u00e0 logarite c\u01a1 s\u1edf E, \u0111\u01b0\u1ee3c vi\u1ebft l\u00e0: logb = lnb.<\/p>\n<\/li>\n<li dir=\"ltr\" style=\"list-style-type: disc;font-size: 11pt;font-family: Arial,sans-serif;color: #000000;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\">\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 10pt\" role=\"presentation\">Logarit th\u1eadp ph\u00e2n l\u00e0 logarit s\u1ed1 10, \u0111\u01b0\u1ee3c vi\u1ebft l\u00e0: log10b = logb = lgb.<\/p>\n<\/li>\n<\/ul>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ham_ham_mu_va_ham_logarit\"><\/span>H\u00e0m h\u00e0m m\u0169 v\u00e0 h\u00e0m logarit<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t b\u1ea3n t\u00f3m t\u1eaft v\u1ec1 l\u00fd thuy\u1ebft l\u00fd thuy\u1ebft v\u1ec1 h\u00e0m logarit m\u00e0 c\u00e1c \u1ee9ng c\u1eed vi\u00ean n\u00ean &#8220;b\u1ecf t\u00fai&#8221;:<\/p>\n<p dir=\"ltr\">1. H\u00e0m cu\u1ed1i:<\/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\/6-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">2. H\u00e0m logarite:<\/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\/7-chuyen-de-ham-so-mu-va-logarit.png\" 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\/8-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_so_mu_phuong_trinh_logarit\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh s\u1ed1 m\u0169, ph\u01b0\u01a1ng tr\u00ecnh logarit<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Ngo\u00e0i ph\u1ea7n \u0111\u00e1nh gi\u00e1 s\u1ed1 m\u0169 v\u00e0 logarit, \u0111\u00e2y l\u00e0 c\u00f9ng m\u1ed9t l\u01b0\u1ee3ng ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh logarit trong c\u00e1c c\u00e2u h\u1ecfi thi \u0111\u1ea1i h\u1ecdc (theo ch\u1ee9c n\u0103ng ki\u1ec3m tra c\u1ee7a \u0111\u00e1nh gi\u00e1 ki\u1ec3m tra), bao g\u1ed3m:<\/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\/9-chuyen-de-ham-so-mu-va-logarit.png\" 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\/10-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Chua_hoan_thanh_%E2%80%93_logarit\"><\/span>Ch\u01b0a ho\u00e0n th\u00e0nh &#8211; logarit<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">T\u1ed5ng quan v\u1ec1 l\u00fd thuy\u1ebft v\u1ec1 s\u1ef1 b\u1ea5t b\u00ecnh \u0111\u1eb3ng logarit trong k\u1ef3 thi c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia m\u00e0 c\u00e1c \u1ee9ng c\u1eed vi\u00ean c\u1ea7n xem x\u00e9t nh\u01b0:<\/p>\n<p dir=\"ltr\">1. \u0110\u1ecbnh ngh\u0129a:<\/p>\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 10pt\">S\u1ef1 b\u1ea5t b\u00ecnh \u0111\u1eb3ng c\u01a1 b\u1ea3n c\u00f3 ax&gt; b (ho\u1eb7c ax \u2265 b, ax <b> 0, a 1.<\/p>\n<p dir=\"ltr\">2. \u0110\u1ecbnh l\u00fd, quy t\u1eafc:<\/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\/11-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">3. Ph\u01b0\u01a1ng ph\u00e1p mang l\u1ea1i c\u00f9ng m\u1ed9t s\u1ed1:<\/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\/12-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">4. Ph\u01b0\u01a1ng ph\u00e1p v\u1ecb tr\u00ed \u1ea9n:<\/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\/13-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">5. Ph\u01b0\u01a1ng ph\u00e1p ch\u1ee9c n\u0103ng, \u0111\u00e1nh gi\u00e1:<\/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\/14-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">Xem th\u00eam: Ch\u1ee7 \u0111\u1ec1 c\u1ee7a ch\u1ee9c n\u0103ng ki\u1ec3m tra tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia To\u00e1n h\u1ecdc: L\u00fd thuy\u1ebft &amp; h\u00ecnh th\u1ee9c t\u1eadp th\u1ec3 d\u1ee5c!<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Loai_van_de_lai_suat_trong_ham_so_mu_va_chuc_nang_logarit\"><\/span>Lo\u1ea1i v\u1ea5n \u0111\u1ec1 l\u00e3i su\u1ea5t trong h\u00e0m s\u1ed1 m\u0169 v\u00e0 ch\u1ee9c n\u0103ng logarit<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">1 T\u00ednh to\u00e1n ti\u1ec1n thu \u0111\u01b0\u1ee3c sau th\u1eddi gian.<\/p>\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 10pt\">-&gt; C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n nhanh: AN = A (1 + R) N<\/p>\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 10pt\">2 T\u00ednh to\u00e1n s\u1ed1 ti\u1ec1n thu \u0111\u01b0\u1ee3c sau N th\u1eddi gian (bao g\u1ed3m c\u1ea3 g\u1ed1c v\u00e0 l\u00e3i). <\/p>\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 10pt\">-&gt; C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n nhanh: AN = A (1 + R)[((1 + r)n &#8211; 1)\/r]\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 10pt\">3 H\u1ecfi c\u00f3 bao nhi\u00eau kho\u1ea3ng th\u1eddi gian, sau \u0111\u00f3 tr\u1ea3 h\u1ebft n\u1ee3 bao g\u1ed3m c\u1ea3 ti\u1ec1n g\u1ed1c v\u00e0 l\u00e3i. <\/p>\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 10pt\">-&gt; C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n nhanh: M = [Ar(1 + r)n ]\/[(1 + r)n -1]\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 10pt\">4. V\u1ea5n \u0111\u1ec1 l\u00e0 \u1edf d\u1ea1ng l\u00e3i k\u00e9p, g\u1eedi m\u1ed9t dong \u0111\u1ebfn t\u00e0i kho\u1ea3n ti\u1ebft ki\u1ec7m, th\u1eddi gian l\u00e3i su\u1ea5t ra. Sau m\u1ed9t th\u1eddi gian v\u1ebd m v\u00e0 giai \u0111o\u1ea1n ti\u1ebfp theo. H\u1ecfi s\u1ed1 ti\u1ec1n c\u00f2n l\u1ea1i trong t\u00e0i kho\u1ea3n sau N?<\/p>\n<p dir=\"ltr\" style=\"line-height: 1.4;margin-top: 0pt;margin-bottom: 10pt\">-&gt; C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n nhanh: AN = A (1 + R) N &#8211; M[((1 + r)n -1)\/r]\n<p dir=\"ltr\"><em>L\u01b0u \u00fd: \u1edf tr\u00ean l\u00e0 m\u1ed9t s\u1ed1 c\u00f4ng th\u1ee9c chung. Trong qu\u00e1 tr\u00ecnh gi\u1ea3i quy\u1ebft to\u00e1n, c\u00e1c \u1ee9ng vi\u00ean c\u1ea7n ph\u1ea3i bi\u1ebfn \u0111\u1ed5i linh ho\u1ea1t c\u00e1c s\u1ed1 l\u01b0\u1ee3ng m\u00e0 v\u1ea5n \u0111\u1ec1 y\u00eau c\u1ea7u d\u1ef1a tr\u00ean c\u00f4ng th\u1ee9c gi\u1ea3i ph\u00e1p nhanh. \u0110\u1ed3ng th\u1eddi, k\u1ebft h\u1ee3p c\u00e1c v\u1ea5n \u0111\u1ec1 trong tr\u01b0\u1eddng h\u1ee3p v\u1ea5n \u0111\u1ec1 r\u1ea5t ph\u1ee9c t\u1ea1p.<\/em><\/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\/15-chuyen-de-ham-so-mu-va-logarit.png\" alt=\"Xem x\u00e9t theo c\u1ea5p s\u1ed1 nh\u00e2n v\u00e0 logarit. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<\/p>\n<p dir=\"ltr\">V\u1edbi to\u00e0n b\u1ed9 h\u1ec7 th\u1ed1ng ki\u1ebfn \u200b\u200bth\u1ee9c, c\u00e1c gi\u1ea3i ph\u00e1p hi\u1ec7u qu\u1ea3 v\u00e0 c\u00e1c b\u00e0i t\u1eadp \u0111a d\u1ea1ng, hy v\u1ecdng b\u00e0i vi\u1ebft n\u00e0y \u0111\u00e3 gi\u00fap b\u1ea1n th\u00e0nh th\u1ea1o ch\u1ee9c n\u0103ng s\u1ed1 m\u0169 v\u00e0 logarit &#8211; m\u1ed9t trong nh\u1eefng ch\u1ee7 \u0111\u1ec1 quan tr\u1ecdng trong k\u1ef3 thi to\u00e1n h\u1ecdc trung h\u1ecdc qu\u1ed1c gia. Ch\u00fac sinh vi\u00ean k\u1ebft qu\u1ea3 cao nh\u1ea5t!<\/p>\n<p>Ngu\u1ed3n: <a href=\"https:\/\/www.ckconitsha.com\/vn\/\">https:\/\/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>B\u1ea1n \u0111ang \u0111\u1ea5u tranh \u0111\u1ec3 xem x\u00e9t k\u1ef3 thi to\u00e1n h\u1ecdc trung h\u1ecdc qu\u1ed1c gia, \u0111\u1eb7c bi\u1ec7t l\u00e0 ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 c\u00e1c ch\u1ee9c n\u0103ng theo c\u1ea5p s\u1ed1 nh\u00e2n v\u00e0 logarit? \u0110\u1eebng lo l\u1eafng! B\u00e0i vi\u1ebft n\u00e0y s\u1ebd l\u00e0 m\u1ed9t cu\u1ed1n s\u1ed5 tay \u0111\u1ea7y \u0111\u1ee7 v\u00e0 chi ti\u1ebft, gi\u00fap b\u1ea1n chinh ph\u1ee5c ch\u1ee7 \u0111\u1ec1 kh\u00f3 kh\u0103n&#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-13470","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/13470","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=13470"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/13470\/revisions"}],"predecessor-version":[{"id":16143,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/13470\/revisions\/16143"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=13470"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=13470"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=13470"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}