Sách Toán – Học Toán – Đề Thi Toán

Sách Toán – Học Toán – Đề Thi Toán https://booktoan.com Học toán, Đề thi toán, Sách giáo khoa Toán, trắc nghiệm Toán online Sun, 28 May 2023 08:46:11 +0000 vi hourly 1 https://wordpress.org/?v=7.1.2 Có bao nhiêu số nguyên $x$ thỏa mãn $\log_{3} \frac{\left(x^{2}-4 x\right)^{2}}{4096} https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-log-3-fracleftx2-4-xright24096log-2-fracx2-4-x27.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-log-3-fracleftx2-4-xright24096log-2-fracx2-4-x27.html#respond Sun, 28 May 2023 08:43:09 +0000 https://booktoan.com/?p=209100 https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-log-3-fracleftx2-4-xright24096log-2-fracx2-4-x27.html/feed 0 Có bao nhiêu cặp số nguyên $(x ; y)$ thỏa mãn $\log {2}\left(x^{2}+y^{2}+4 x\right)+\log {3}\left(x^{2}+y^{2}\right) \leq \log {2} x+\log {3}\left(15 x^{2}+15 y^{2}+48 x\right) ?$ https://booktoan.com/co-bao-nhieu-cap-so-nguyen-x-y-thoa-man-log-2leftx2y24-xrightlog-3leftx2y2right-leq-log-2-xlog-3left15-x215-y248-xright.html https://booktoan.com/co-bao-nhieu-cap-so-nguyen-x-y-thoa-man-log-2leftx2y24-xrightlog-3leftx2y2right-leq-log-2-xlog-3left15-x215-y248-xright.html#respond Sun, 28 May 2023 08:40:35 +0000 https://booktoan.com/?p=209096 https://booktoan.com/co-bao-nhieu-cap-so-nguyen-x-y-thoa-man-log-2leftx2y24-xrightlog-3leftx2y2right-leq-log-2-xlog-3left15-x215-y248-xright.html/feed 0 39 câu trắc nghiệm VDC Mũ – Logarit https://booktoan.com/39-cau-trac-nghiem-vdc-mu-logarit.html https://booktoan.com/39-cau-trac-nghiem-vdc-mu-logarit.html#respond Sun, 05 Dec 2021 14:27:50 +0000 https://booktoan.com/?p=189396 https://booktoan.com/39-cau-trac-nghiem-vdc-mu-logarit.html/feed 0 Cho hai số $x,\,y$ thỏa mãn $x + y > 0$ và ${10^{{x^2} + {y^2}}} + {2021^{2021}}.\log \frac{{{x^2} + {y^2}}}{{x + y}} \le {100^{x + y}} + {2021^{2021}}.\log 2$.Tìm tổng của giá trị lớn nhất và giá trị nhỏ nhất của biểu thức $P = {x^2} + {y^2} – 10x – 2y + 2.$ https://booktoan.com/cho-hai-so-xy-thoa-man-x-y-0-va-10x2-y2-20212021-log-fracx2-y2x-y-le-100x-y-20212021-log-2-tim-tong-cua-gia.html https://booktoan.com/cho-hai-so-xy-thoa-man-x-y-0-va-10x2-y2-20212021-log-fracx2-y2x-y-le-100x-y-20212021-log-2-tim-tong-cua-gia.html#respond Thu, 05 Aug 2021 14:27:09 +0000 https://booktoan.com/?p=186705 https://booktoan.com/cho-hai-so-xy-thoa-man-x-y-0-va-10x2-y2-20212021-log-fracx2-y2x-y-le-100x-y-20212021-log-2-tim-tong-cua-gia.html/feed 0 NẮM TRỌN CHUYÊN ĐỀ MŨ – LOGARIT – TÍCH PHÂN https://booktoan.com/nam-tron-chuyen-de-mu-logarit-tich-phan.html https://booktoan.com/nam-tron-chuyen-de-mu-logarit-tich-phan.html#respond Sat, 24 Jul 2021 14:46:53 +0000 https://booktoan.com/?p=186264 https://booktoan.com/nam-tron-chuyen-de-mu-logarit-tich-phan.html/feed 0 Có bao nhiêu số nguyên dương $x$thỏa mãn ${2.2^x} + x + {\sin ^2}y = {2^{{{\cos }^2}y}}$? https://booktoan.com/co-bao-nhieu-so-nguyen-duong-xthoa-man-2-2x-x-sin-2y-2cos-2y.html https://booktoan.com/co-bao-nhieu-so-nguyen-duong-xthoa-man-2-2x-x-sin-2y-2cos-2y.html#respond Thu, 01 Jul 2021 14:34:42 +0000 https://booktoan.com/?p=178157 https://booktoan.com/co-bao-nhieu-so-nguyen-duong-xthoa-man-2-2x-x-sin-2y-2cos-2y.html/feed 0 Xét các số thực dương $a,\,b,\,x,\,y$ thỏa mãn $1 < a \le b \le {a^3}$ và ${a^x} = {b^y} = \sqrt[3]{{ab}}$. Giá trịlớn nhất của biểu thức $P = x + 3y$ thuộc tập hợp nào dưới đây? https://booktoan.com/xet-cac-so-thuc-duong-abxy-thoa-man-1-a-le-b-le-a3-va-ax-by-sqrt3ab-gia-trilon-nhat-cua-bieu-thuc-p-x-3y-thuoc-tap-hop-nao-duoi-d.html https://booktoan.com/xet-cac-so-thuc-duong-abxy-thoa-man-1-a-le-b-le-a3-va-ax-by-sqrt3ab-gia-trilon-nhat-cua-bieu-thuc-p-x-3y-thuoc-tap-hop-nao-duoi-d.html#respond Thu, 01 Jul 2021 14:22:52 +0000 https://booktoan.com/?p=178187 https://booktoan.com/xet-cac-so-thuc-duong-abxy-thoa-man-1-a-le-b-le-a3-va-ax-by-sqrt3ab-gia-trilon-nhat-cua-bieu-thuc-p-x-3y-thuoc-tap-hop-nao-duoi-d.html/feed 0 Tìm $m$ để phương trình $\left( {m – 1} \right)\log _{\frac{1}{2}}^2{\left( {x – 2} \right)^2} + 4\left( {m – 5} \right){\log _{\frac{1}{2}}}\left( {\frac{1}{{x – 2}}} \right) + 4m – 4 = 0$ có nghiệm trên $\left[ {\frac{5}{2};4} \right]$. https://booktoan.com/tim-m-de-phuong-trinh-left-m-1-rightlog-_frac122left-x-2-right2-4left-m-5-rightlog-_frac12left-frac1x-2-rig.html https://booktoan.com/tim-m-de-phuong-trinh-left-m-1-rightlog-_frac122left-x-2-right2-4left-m-5-rightlog-_frac12left-frac1x-2-rig.html#respond Thu, 01 Jul 2021 12:58:18 +0000 https://booktoan.com/?p=178200 https://booktoan.com/tim-m-de-phuong-trinh-left-m-1-rightlog-_frac122left-x-2-right2-4left-m-5-rightlog-_frac12left-frac1x-2-rig.html/feed 0 Cho hai số thực dương $x$, $y$ thỏa mãn biểu thức ${\log _4}x = {\log _6}y = {\log _9}\left( {x + y} \right)$. Giá trị của tỉ số $\frac{x}{y}$ bằng https://booktoan.com/cho-hai-so-thuc-duong-x-y-thoa-man-bieu-thuc-log-_4x-log-_6y-log-_9left-x-y-right-gia-tri-cua-ti-so-fracxy-bang.html https://booktoan.com/cho-hai-so-thuc-duong-x-y-thoa-man-bieu-thuc-log-_4x-log-_6y-log-_9left-x-y-right-gia-tri-cua-ti-so-fracxy-bang.html#respond Thu, 01 Jul 2021 10:31:41 +0000 https://booktoan.com/?p=178174 https://booktoan.com/cho-hai-so-thuc-duong-x-y-thoa-man-bieu-thuc-log-_4x-log-_6y-log-_9left-x-y-right-gia-tri-cua-ti-so-fracxy-bang.html/feed 0 Cho biết $a$, $b$, $c$ là các số thực dương thỏa mãn biểu thức ${2018^a} = {2019^b} = {2020^c}$. Hãy tính giá trị của biểu thức $P = \frac{a}{b} + \frac{b}{c}$. https://booktoan.com/cho-biet-a-b-c-la-cac-so-thuc-duong-thoa-man-bieu-thuc-2018a-2019b-2020c-hay-tinh-gia-tri-cua-bieu-thuc-p-fracab-fracbc.html https://booktoan.com/cho-biet-a-b-c-la-cac-so-thuc-duong-thoa-man-bieu-thuc-2018a-2019b-2020c-hay-tinh-gia-tri-cua-bieu-thuc-p-fracab-fracbc.html#respond Thu, 01 Jul 2021 10:20:12 +0000 https://booktoan.com/?p=178176 https://booktoan.com/cho-biet-a-b-c-la-cac-so-thuc-duong-thoa-man-bieu-thuc-2018a-2019b-2020c-hay-tinh-gia-tri-cua-bieu-thuc-p-fracab-fracbc.html/feed 0