Sách Toán – Học Toán – Đề Thi Toán https://booktoan.com Học toán, Đề thi toán, Sách giáo khoa Toán, trắc nghiệm Toán online Mon, 13 Nov 2023 03:26:39 +0000 vi hourly 1 https://wordpress.org/?v=7.1.2 Tìm tất cả các giá trị của tham số m để phương trình \({\left( {7 – 3\sqrt 5 } \right)^{{x^2}}} + m{\left( {7 + 3\sqrt 5 } \right)^{{x^2}}} = {2^{{x^2} – 1}}\) có 4 nghiệm https://booktoan.com/tim-tat-ca-cac-gia-tri-cua-tham-so-m-de-phuong-trinh-7-3-can-5-x2-m-7-3-can-5-x2-co-4-nghiem.html https://booktoan.com/tim-tat-ca-cac-gia-tri-cua-tham-so-m-de-phuong-trinh-7-3-can-5-x2-m-7-3-can-5-x2-co-4-nghiem.html#respond Mon, 13 Nov 2023 03:12:07 +0000 https://booktoan.com/?p=217568 https://booktoan.com/tim-tat-ca-cac-gia-tri-cua-tham-so-m-de-phuong-trinh-7-3-can-5-x2-m-7-3-can-5-x2-co-4-nghiem.html/feed 0 Có bao nhiêu số nguyên \(x\), \(x \in \left[ { – 10;10} \right]\) thỏa mãn \({3.3^x} + 2x + 1 + \cos 2y = {3^{{{\sin }^2}y}}\)? https://booktoan.com/co-bao-nhieu-so-nguyen-x-x-in-left-1010-right-thoa-man-3-3x-2x-1-cos-2y-3sin-2y-left-right.html https://booktoan.com/co-bao-nhieu-so-nguyen-x-x-in-left-1010-right-thoa-man-3-3x-2x-1-cos-2y-3sin-2y-left-right.html#respond Thu, 01 Dec 2022 04:03:58 +0000 https://booktoan.com/?p=201708 https://booktoan.com/co-bao-nhieu-so-nguyen-x-x-in-left-1010-right-thoa-man-3-3x-2x-1-cos-2y-3sin-2y-left-right.html/feed 0 Có bao nhiêu cặp số nguyên \(\left( {x\,;\,y} \right)\) thỏa mãn \(1 \le x \le 2022\) và \(x + {x^2} – {25^y} = {5^y}\). https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-1-le-x-le-2022-va-x-x2-25y-5y.html https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-1-le-x-le-2022-va-x-x2-25y-5y.html#respond Wed, 23 Nov 2022 12:39:29 +0000 https://booktoan.com/?p=201702 https://booktoan.com/co-bao-nhieu-cap-so-nguyen-left-xy-right-thoa-man-1-le-x-le-2022-va-x-x2-25y-5y.html/feed 0 Tính tổng bình phương tất cả các nghiệm của phương trình phương trình \({5^{{x^2} – 2}} = {5^{{x^4} – {x^2} – 1}} + {\left( {{x^2} – 1} \right)^2}\). https://booktoan.com/tinh-tong-binh-phuong-tat-ca-cac-nghiem-cua-phuong-trinh-phuong-trinh-5x2-2-5x4-x2-1-left-x2-1-right2.html https://booktoan.com/tinh-tong-binh-phuong-tat-ca-cac-nghiem-cua-phuong-trinh-phuong-trinh-5x2-2-5x4-x2-1-left-x2-1-right2.html#respond Mon, 21 Nov 2022 10:03:05 +0000 https://booktoan.com/?p=201696 https://booktoan.com/tinh-tong-binh-phuong-tat-ca-cac-nghiem-cua-phuong-trinh-phuong-trinh-5x2-2-5x4-x2-1-left-x2-1-right2.html/feed 0 Tìm điều kiện của x để bất phương trình mũ logarit đúng với y thoả mãn điều kiện – file word https://booktoan.com/tim-dieu-kien-cua-x-de-bat-phuong-trinh-mu-logarit-dung-voi-y-thoa-man-dieu-kien-file-word.html https://booktoan.com/tim-dieu-kien-cua-x-de-bat-phuong-trinh-mu-logarit-dung-voi-y-thoa-man-dieu-kien-file-word.html#respond Sat, 02 Jul 2022 12:20:43 +0000 https://booktoan.com/?p=195851 https://booktoan.com/tim-dieu-kien-cua-x-de-bat-phuong-trinh-mu-logarit-dung-voi-y-thoa-man-dieu-kien-file-word.html/feed 0 47. Có bao nhiêu số nguyên \(y\)sao cho tồn tại \(x \in \left( {\frac{1}{3};3} \right)\) thỏa mãn \({27^{3{x^2} + xy}} = \left( {1 + xy} \right){.27^{9x}}\)? https://booktoan.com/47-co-bao-nhieu-so-nguyen-ysao-cho-ton-tai-x-in-left-frac133-right-thoa-man-273x2-xy-left-1-xy-right-279x.html https://booktoan.com/47-co-bao-nhieu-so-nguyen-ysao-cho-ton-tai-x-in-left-frac133-right-thoa-man-273x2-xy-left-1-xy-right-279x.html#respond Wed, 14 Jul 2021 17:00:00 +0000 https://booktoan.com/47-co-bao-nhieu-so-nguyen-ysao-cho-ton-tai-x-in-left-frac133-right-thoa-man-273x2-xy-left-1-xy-right-279x.html https://booktoan.com/47-co-bao-nhieu-so-nguyen-ysao-cho-ton-tai-x-in-left-frac133-right-thoa-man-273x2-xy-left-1-xy-right-279x.html/feed 0 471. Có bao nhiêu cặp số nguyên \(\left( {x;y} \right)\)thỏa mãn \(0 \le x \le 2020\) và \({\log _2}\left( {x + 1} \right) + x – 3y + 1 = {8^y}\). https://booktoan.com/471-co-bao-nhieu-cap-so-nguyen-left-xy-rightthoa-man-0-le-x-le-2020-va-log-_2left-x-1-right-x-3y-1-8y.html https://booktoan.com/471-co-bao-nhieu-cap-so-nguyen-left-xy-rightthoa-man-0-le-x-le-2020-va-log-_2left-x-1-right-x-3y-1-8y.html#respond Wed, 14 Jul 2021 17:00:00 +0000 https://booktoan.com/471-co-bao-nhieu-cap-so-nguyen-left-xy-rightthoa-man-0-le-x-le-2020-va-log-_2left-x-1-right-x-3y-1-8y.html https://booktoan.com/471-co-bao-nhieu-cap-so-nguyen-left-xy-rightthoa-man-0-le-x-le-2020-va-log-_2left-x-1-right-x-3y-1-8y.html/feed 0 473. Có bao nhiêu số nguyên \(a > 2\) để phương trình \(\log \left[ {{{\left( {{{\log }_3}x} \right)}^{\log a}} + 3} \right] = {\log _a}\left( {{{\log }_3}x – 3} \right)\) có nghiệm \(x > 81\). https://booktoan.com/473-co-bao-nhieu-so-nguyen-a-2-de-phuong-trinh-log-left-left-log-_3x-rightlog-a-3-right-log-_aleft-log-_3x-3-right-co-nghiem.html https://booktoan.com/473-co-bao-nhieu-so-nguyen-a-2-de-phuong-trinh-log-left-left-log-_3x-rightlog-a-3-right-log-_aleft-log-_3x-3-right-co-nghiem.html#respond Wed, 14 Jul 2021 17:00:00 +0000 https://booktoan.com/473-co-bao-nhieu-so-nguyen-a-2-de-phuong-trinh-log-left-left-log-_3x-rightlog-a-3-right-log-_aleft-log-_3x-3-right-co-nghiem.html https://booktoan.com/473-co-bao-nhieu-so-nguyen-a-2-de-phuong-trinh-log-left-left-log-_3x-rightlog-a-3-right-log-_aleft-log-_3x-3-right-co-nghiem.html/feed 0 474. Tổng các nghiệm của phương trình sau \({7^{x – 1}} = 6{\log _7}\left( {6x – 5} \right) + 1\) bằng https://booktoan.com/474-tong-cac-nghiem-cua-phuong-trinh-sau-7x-1-6log-_7left-6x-5-right-1-bang.html https://booktoan.com/474-tong-cac-nghiem-cua-phuong-trinh-sau-7x-1-6log-_7left-6x-5-right-1-bang.html#respond Wed, 14 Jul 2021 17:00:00 +0000 https://booktoan.com/474-tong-cac-nghiem-cua-phuong-trinh-sau-7x-1-6log-_7left-6x-5-right-1-bang.html https://booktoan.com/474-tong-cac-nghiem-cua-phuong-trinh-sau-7x-1-6log-_7left-6x-5-right-1-bang.html/feed 0 475. Có bao nhiêu số nguyên \(m\left( {m \ge 2} \right)\) sao cho tồn tại số thực \(x\) thỏa mãn \({\left( {{m^{\ln x}} + 4} \right)^{\ln m}} + 4 = x?\) https://booktoan.com/475-co-bao-nhieu-so-nguyen-mleft-m-ge-2-right-sao-cho-ton-tai-so-thuc-x-thoa-man-left-mln-x-4-rightln-m-4-x.html https://booktoan.com/475-co-bao-nhieu-so-nguyen-mleft-m-ge-2-right-sao-cho-ton-tai-so-thuc-x-thoa-man-left-mln-x-4-rightln-m-4-x.html#respond Wed, 14 Jul 2021 17:00:00 +0000 https://booktoan.com/475-co-bao-nhieu-so-nguyen-mleft-m-ge-2-right-sao-cho-ton-tai-so-thuc-x-thoa-man-left-mln-x-4-rightln-m-4-x.html https://booktoan.com/475-co-bao-nhieu-so-nguyen-mleft-m-ge-2-right-sao-cho-ton-tai-so-thuc-x-thoa-man-left-mln-x-4-rightln-m-4-x.html/feed 0