Sách Toán – Học Toán – Đề Thi Toán https://booktoan.com Học toán, Đề thi toán, Sách giáo khoa Toán, trắc nghiệm Toán online Sat, 11 Mar 2023 07:41:56 +0000 vi hourly 1 https://wordpress.org/?v=7.1.3 Có bao nhiêu số nguyên x thỏa mãn \({\rm{lo}}{{\rm{g}}_3}\frac{{{x^2} – 16}}{{343}} < {\rm{lo}}{{\rm{g}}_7}\frac{{{x^2} - 16}}{{27}}\)? https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-rmlormg_3fracx2-16343-rmlormg_7fracx2-1627.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-rmlormg_3fracx2-16343-rmlormg_7fracx2-1627.html#respond Sat, 11 Mar 2023 07:41:55 +0000 https://booktoan.com/?p=206697 https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-rmlormg_3fracx2-16343-rmlormg_7fracx2-1627.html/feed 0 Có bao nhiêu số nguyên \(x\) thỏa mãn \(\left( {{9^{{x^2}}} – {{27}^x}} \right)\left[ {{{\log }_{\frac{1}{2}}}\left( {x + 2022} \right) + 1} \right] \ge 0\)? https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-9x2-27x-rightleft-log-_frac12left-x-2022-right-1-right-ge-0.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-9x2-27x-rightleft-log-_frac12left-x-2022-right-1-right-ge-0.html#respond Thu, 15 Jul 2021 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-9x2-27x-rightleft-log-_frac12left-x-2022-right-1-right-ge-0.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-9x2-27x-rightleft-log-_frac12left-x-2022-right-1-right-ge-0.html/feed 0 Có bao nhiêu số nguyên \(x\) thỏa mãn \(\left( {{9^{{x^2}}} – {3^x}{{.9}^{x + 1}}} \right)\left( {{{\log }_2}\left( {2x – 18} \right) – 5} \right) \le 0\)? https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-9x2-3x-9x-1-rightleft-log-_2left-2x-18-right-5-right-le-0.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-9x2-3x-9x-1-rightleft-log-_2left-2x-18-right-5-right-le-0.html#respond Thu, 15 Jul 2021 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-9x2-3x-9x-1-rightleft-log-_2left-2x-18-right-5-right-le-0.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-9x2-3x-9x-1-rightleft-log-_2left-2x-18-right-5-right-le-0.html/feed 0 Với mọi số thực \(a\), \(b\), \(c\) thỏa mãn \({\log _3}a – 2{\log _3}b + 3{\log _{27}}\left( {c + 1} \right) = 1\), khẳng định đúng là https://booktoan.com/voi-moi-so-thuc-a-b-c-thoa-man-log-_3a-2log-_3b-3log-_27left-c-1-right-1-khang-dinh-dung-la.html https://booktoan.com/voi-moi-so-thuc-a-b-c-thoa-man-log-_3a-2log-_3b-3log-_27left-c-1-right-1-khang-dinh-dung-la.html#respond Thu, 15 Jul 2021 17:00:00 +0000 https://booktoan.com/voi-moi-so-thuc-a-b-c-thoa-man-log-_3a-2log-_3b-3log-_27left-c-1-right-1-khang-dinh-dung-la.html https://booktoan.com/voi-moi-so-thuc-a-b-c-thoa-man-log-_3a-2log-_3b-3log-_27left-c-1-right-1-khang-dinh-dung-la.html/feed 0 Có bao nhiêu số nguyên \(y\) sao cho tồn tại \(x \in \left( {\frac{1}{2} ; 5} \right)\) thỏa mãn \({8^{2{x^2} + xy}} = \left( {1 + xy} \right){.8^{4x}}\)? https://booktoan.com/co-bao-nhieu-so-nguyen-y-sao-cho-ton-tai-x-in-left-frac12-5-right-thoa-man-82x2-xy-left-1-xy-right-84x.html https://booktoan.com/co-bao-nhieu-so-nguyen-y-sao-cho-ton-tai-x-in-left-frac12-5-right-thoa-man-82x2-xy-left-1-xy-right-84x.html#respond Thu, 15 Jul 2021 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-so-nguyen-y-sao-cho-ton-tai-x-in-left-frac12-5-right-thoa-man-82x2-xy-left-1-xy-right-84x.html https://booktoan.com/co-bao-nhieu-so-nguyen-y-sao-cho-ton-tai-x-in-left-frac12-5-right-thoa-man-82x2-xy-left-1-xy-right-84x.html/feed 0 Có bao nhiêu số nguyên \(x\) thỏa mãn \(\left( {{8^x} – {2^{{x^3} + 2}}} \right).\left[ {{{\log }_{\sqrt 3 }}\left( {2x + 21} \right) – 4} \right] \ge 0?\) https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-8x-2x3-2-right-left-log-_sqrt-3-left-2x-21-right-4-right-ge-0.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-8x-2x3-2-right-left-log-_sqrt-3-left-2x-21-right-4-right-ge-0.html#respond Thu, 15 Jul 2021 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-8x-2x3-2-right-left-log-_sqrt-3-left-2x-21-right-4-right-ge-0.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-left-8x-2x3-2-right-left-log-_sqrt-3-left-2x-21-right-4-right-ge-0.html/feed 0 Cho các số thực dương \(a,\,\,\,b,\,\,x\) thỏa mãn \({\log _{\frac{1}{2}}}x = \frac{2}{3}{\log _{\frac{1}{2}}}a – \frac{1}{5}{\log _{\frac{1}{2}}}b\). Mệnh đề nào dưới đây đúng? https://booktoan.com/cho-cac-so-thuc-duong-abx-thoa-man-log-_frac12x-frac23log-_frac12a-frac15log-_frac12b-menh-de-nao-duoi-day-dung.html https://booktoan.com/cho-cac-so-thuc-duong-abx-thoa-man-log-_frac12x-frac23log-_frac12a-frac15log-_frac12b-menh-de-nao-duoi-day-dung.html#respond Thu, 15 Jul 2021 17:00:00 +0000 https://booktoan.com/cho-cac-so-thuc-duong-abx-thoa-man-log-_frac12x-frac23log-_frac12a-frac15log-_frac12b-menh-de-nao-duoi-day-dung.html https://booktoan.com/cho-cac-so-thuc-duong-abx-thoa-man-log-_frac12x-frac23log-_frac12a-frac15log-_frac12b-menh-de-nao-duoi-day-dung.html/feed 0 Có bao nhiêu cặp số nguyên \(\left( {x\,;y} \right)\) thỏa mãn \(2 \le x \le 2021\) và \({2^y} – {\log _2}\left( {x + {2^{y – 1}}} \right) = 2x – y\)? https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-2-le-x-le-2021-va-2y-log-_2left-x-2y-1-right-2x-y.html https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-2-le-x-le-2021-va-2y-log-_2left-x-2y-1-right-2x-y.html#respond Thu, 15 Jul 2021 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-2-le-x-le-2021-va-2y-log-_2left-x-2y-1-right-2x-y.html https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-2-le-x-le-2021-va-2y-log-_2left-x-2y-1-right-2x-y.html/feed 0 Có bao nhiêu số nguyên \(y > 5\) để tồn tại số thực \(x\) thỏa mãn \({\log _{15}}\left( {4x + 3y + 1} \right) = {\log _6}\left( {{x^2} – 2x + {y^2}} \right)\)? https://booktoan.com/co-bao-nhieu-so-nguyen-y-5-de-ton-tai-so-thuc-x-thoa-man-log-_15left-4x-3y-1-right-log-_6left-x2-2x-y2-right.html https://booktoan.com/co-bao-nhieu-so-nguyen-y-5-de-ton-tai-so-thuc-x-thoa-man-log-_15left-4x-3y-1-right-log-_6left-x2-2x-y2-right.html#respond Thu, 15 Jul 2021 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-so-nguyen-y-5-de-ton-tai-so-thuc-x-thoa-man-log-_15left-4x-3y-1-right-log-_6left-x2-2x-y2-right.html https://booktoan.com/co-bao-nhieu-so-nguyen-y-5-de-ton-tai-so-thuc-x-thoa-man-log-_15left-4x-3y-1-right-log-_6left-x2-2x-y2-right.html/feed 0 Có bao nhiêu số nguyên \(x\) thỏa mãn \(\sqrt {{{\log }_3}\left( {x + 25} \right) – 2} .\left( {{2^{{x^3}}} – {2^{ – x}}{{.4}^{3 – 2x}}} \right) < 0\)? https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-sqrt-log-_3left-x-25-right-2-left-2x3-2-x-43-2x-right-0.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-sqrt-log-_3left-x-25-right-2-left-2x3-2-x-43-2x-right-0.html#respond Thu, 15 Jul 2021 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-sqrt-log-_3left-x-25-right-2-left-2x3-2-x-43-2x-right-0.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-thoa-man-sqrt-log-_3left-x-25-right-2-left-2x3-2-x-43-2x-right-0.html/feed 0