Sách Toán – Học Toán – Đề Thi Toán https://booktoan.com Học toán, Đề thi toán, Sách giáo khoa Toán, trắc nghiệm Toán online Mon, 12 Jun 2023 12:51:14 +0000 vi hourly 1 https://wordpress.org/?v=7.1.3 Số nghiệm nguyên của bất phương trình \(\log _{\sqrt 2 }^2\left( {2x} \right) – 23{\log _2}x + 7 < 0\) là https://booktoan.com/so-nghiem-nguyen-cua-bat-phuong-trinh-log-_sqrt-2-2left-2x-right-23log-_2x-7-0-la.html https://booktoan.com/so-nghiem-nguyen-cua-bat-phuong-trinh-log-_sqrt-2-2left-2x-right-23log-_2x-7-0-la.html#respond Sat, 10 Jun 2023 17:00:00 +0000 https://booktoan.com/so-nghiem-nguyen-cua-bat-phuong-trinh-log-_sqrt-2-2left-2x-right-23log-_2x-7-0-la.html https://booktoan.com/so-nghiem-nguyen-cua-bat-phuong-trinh-log-_sqrt-2-2left-2x-right-23log-_2x-7-0-la.html/feed 0 Có bao nhiêu cặp số nguyên \(\left( {x,y} \right)\) thỏa mãn \(0 \le x \le 2023\) và \({\log _3}\left( {9x + 18} \right) + x = 3y + {27^y}.\) https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-0-le-x-le-2023-va-log-_3left-9x-18-right-x-3y-27y.html https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-0-le-x-le-2023-va-log-_3left-9x-18-right-x-3y-27y.html#respond Sat, 10 Jun 2023 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-0-le-x-le-2023-va-log-_3left-9x-18-right-x-3y-27y.html https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-0-le-x-le-2023-va-log-_3left-9x-18-right-x-3y-27y.html/feed 0 Số nghiệm nguyên của phương trình \(\log _{\frac{1}{2}}^2\left( {\frac{8}{{{x^2}}}} \right) – {\log _2}4x = – 2\) là: https://booktoan.com/so-nghiem-nguyen-cua-phuong-trinh-log-_frac122left-frac8x2-right-log-_24x-2-la.html https://booktoan.com/so-nghiem-nguyen-cua-phuong-trinh-log-_frac122left-frac8x2-right-log-_24x-2-la.html#respond Sat, 10 Jun 2023 17:00:00 +0000 https://booktoan.com/so-nghiem-nguyen-cua-phuong-trinh-log-_frac122left-frac8x2-right-log-_24x-2-la.html https://booktoan.com/so-nghiem-nguyen-cua-phuong-trinh-log-_frac122left-frac8x2-right-log-_24x-2-la.html/feed 0 Có bao nhiêu giá trị nguyên của tham số \(m \in \left[ {0;30} \right]\) để phương trình \({6^x} + 2mx = m{2^x} + 2x{.3^x}\) có đúng 3 nghiệm nguyên dương. https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-030-right-de-phuong-trinh-6x-2mx-m2x-2x-3x-co-dung-3-nghiem-nguyen-duong.html https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-030-right-de-phuong-trinh-6x-2mx-m2x-2x-3x-co-dung-3-nghiem-nguyen-duong.html#respond Sat, 10 Jun 2023 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-030-right-de-phuong-trinh-6x-2mx-m2x-2x-3x-co-dung-3-nghiem-nguyen-duong.html https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-030-right-de-phuong-trinh-6x-2mx-m2x-2x-3x-co-dung-3-nghiem-nguyen-duong.html/feed 0 Cho phương trình \({\log _2}\left( {{9^x} + {{15.3}^x} – 15} \right) + {\log _2}\frac{1}{{{{\left( {{{4.3}^x} – 3} \right)}^2}}} = 0\). Số nghiệm của phương trình là: https://booktoan.com/cho-phuong-trinh-log-_2left-9x-15-3x-15-right-log-_2frac1left-4-3x-3-right2-0-so-nghiem-cua-phuong-trinh-la.html https://booktoan.com/cho-phuong-trinh-log-_2left-9x-15-3x-15-right-log-_2frac1left-4-3x-3-right2-0-so-nghiem-cua-phuong-trinh-la.html#respond Sat, 10 Jun 2023 17:00:00 +0000 https://booktoan.com/cho-phuong-trinh-log-_2left-9x-15-3x-15-right-log-_2frac1left-4-3x-3-right2-0-so-nghiem-cua-phuong-trinh-la.html https://booktoan.com/cho-phuong-trinh-log-_2left-9x-15-3x-15-right-log-_2frac1left-4-3x-3-right2-0-so-nghiem-cua-phuong-trinh-la.html/feed 0 Có bao nhiêu số nguyên dương \(m < 2023\)sao cho tồn tại số nguyên \(x\)thỏa mãn \({2^m}\left( {{2^{x + 3}} – 1} \right) + {m^2} = m\left( {{2^m} + {2^{x + 3}} – 1} \right)\)? https://booktoan.com/co-bao-nhieu-so-nguyen-duong-m-2023sao-cho-ton-tai-so-nguyen-xthoa-man-2mleft-2x-3-1-right-m2-mleft-2m-2x-3-1-right.html https://booktoan.com/co-bao-nhieu-so-nguyen-duong-m-2023sao-cho-ton-tai-so-nguyen-xthoa-man-2mleft-2x-3-1-right-m2-mleft-2m-2x-3-1-right.html#respond Sat, 10 Jun 2023 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-so-nguyen-duong-m-2023sao-cho-ton-tai-so-nguyen-xthoa-man-2mleft-2x-3-1-right-m2-mleft-2m-2x-3-1-right.html https://booktoan.com/co-bao-nhieu-so-nguyen-duong-m-2023sao-cho-ton-tai-so-nguyen-xthoa-man-2mleft-2x-3-1-right-m2-mleft-2m-2x-3-1-right.html/feed 0 Có bao nhiêu giá trị nguyên của tham số thực \(m\) để phương trình \(4{\left( {{{\log }_{25}}x} \right)^2} – {\log _{\frac{1}{5}}}x + 1 – 3m = 0\) có hai nghiệm phân biệt thuộc khoảng \(\left( {0;1} \right)\). https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-thuc-m-de-phuong-trinh-4left-log-_25x-right2-log-_frac15x-1-3m-0-co-hai-nghiem-phan-biet-thuoc-khoang-le.html https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-thuc-m-de-phuong-trinh-4left-log-_25x-right2-log-_frac15x-1-3m-0-co-hai-nghiem-phan-biet-thuoc-khoang-le.html#respond Sat, 10 Jun 2023 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-thuc-m-de-phuong-trinh-4left-log-_25x-right2-log-_frac15x-1-3m-0-co-hai-nghiem-phan-biet-thuoc-khoang-le.html https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-thuc-m-de-phuong-trinh-4left-log-_25x-right2-log-_frac15x-1-3m-0-co-hai-nghiem-phan-biet-thuoc-khoang-le.html/feed 0 Gọi \(S\) là tập hợp các giá trị của tham số \(m \in \left( { – \infty ;\frac{{ – 16}}{{27}}} \right)\) sao cho phương trình \({4.4^{{x^2} + 2x}} + \left( {12m – 12} \right){6^{{x^2} + 2x}} – \left( {54m + 27} \right){3^{2{x^2} + 4x}} = 0\) có hai nghiệm nguyên . Khi đó tổng các phần tử của \(S\) bằng https://booktoan.com/goi-s-la-tap-hop-cac-gia-tri-cua-tham-so-m-in-left-infty-frac-1627-right-sao-cho-phuong-trinh4-4x2-2x-left-12m-12-right6x2.html https://booktoan.com/goi-s-la-tap-hop-cac-gia-tri-cua-tham-so-m-in-left-infty-frac-1627-right-sao-cho-phuong-trinh4-4x2-2x-left-12m-12-right6x2.html#respond Sat, 10 Jun 2023 17:00:00 +0000 https://booktoan.com/goi-s-la-tap-hop-cac-gia-tri-cua-tham-so-m-in-left-infty-frac-1627-right-sao-cho-phuong-trinh4-4x2-2x-left-12m-12-right6x2.html https://booktoan.com/goi-s-la-tap-hop-cac-gia-tri-cua-tham-so-m-in-left-infty-frac-1627-right-sao-cho-phuong-trinh4-4x2-2x-left-12m-12-right6x2.html/feed 0 Tìm các giá trị thực của tham số \(m\) để phương trình \(\log _2^2x – 5{\log _2}x + 2m – 6 = 0\) có hai nghiệm thực \({x_1};\,{x_2}\) thỏa mãn \(\left( {{x_1} + 2} \right)\left( {{x_2} + 2} \right) = 60\). https://booktoan.com/tim-cac-gia-tri-thuc-cua-tham-so-m-de-phuong-trinh-log-_22x-5log-_2x-2m-6-0-co-hai-nghiem-thuc-x_1x_2-thoa-man-left-x_1-2-rightleft-x_2.html https://booktoan.com/tim-cac-gia-tri-thuc-cua-tham-so-m-de-phuong-trinh-log-_22x-5log-_2x-2m-6-0-co-hai-nghiem-thuc-x_1x_2-thoa-man-left-x_1-2-rightleft-x_2.html#respond Sat, 10 Jun 2023 17:00:00 +0000 https://booktoan.com/tim-cac-gia-tri-thuc-cua-tham-so-m-de-phuong-trinh-log-_22x-5log-_2x-2m-6-0-co-hai-nghiem-thuc-x_1x_2-thoa-man-left-x_1-2-rightleft-x_2.html https://booktoan.com/tim-cac-gia-tri-thuc-cua-tham-so-m-de-phuong-trinh-log-_22x-5log-_2x-2m-6-0-co-hai-nghiem-thuc-x_1x_2-thoa-man-left-x_1-2-rightleft-x_2.html/feed 0 Có bao nhiêu giá trị nguyên của tham số \(m \in \left[ {1\,;\,2023} \right]\) để phương trình \(\left( {{4^{x + 1}} – 65 \cdot {2^x} + 16} \right) \cdot \sqrt {{{\log }_3}{x^2} – m} = 0\) có \(2\) nghiệm nguyên. https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-12023-right-de-phuong-trinh-left-4x-1-65-cdot-2x-16-right-cdot-sqrt-log-_3x2-m-0.html https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-12023-right-de-phuong-trinh-left-4x-1-65-cdot-2x-16-right-cdot-sqrt-log-_3x2-m-0.html#respond Sat, 10 Jun 2023 17:00:00 +0000 https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-12023-right-de-phuong-trinh-left-4x-1-65-cdot-2x-16-right-cdot-sqrt-log-_3x2-m-0.html https://booktoan.com/co-bao-nhieu-gia-tri-nguyen-cua-tham-so-m-in-left-12023-right-de-phuong-trinh-left-4x-1-65-cdot-2x-16-right-cdot-sqrt-log-_3x2-m-0.html/feed 0