kayori_niqzqwe

Мы можем использовать формулу разности квадратов, чтобы решить эту задачу: (log7 7^13+2) (log7 7^13 -2) = (log7 (7^13)^2 - 2^2) = (log7 7^26 - 4) = 26log7 7 - log7 7^4 = 26 - 4log7 7 = 26 - 4 = 22 Таким образом, результат равен 22.

Let's break down the problem step by step: log4 4^2 = 2 log2 4 = 2 (log2 4)^2 = 4 So, we can rewrite the expression as: 2 + 4 - log12 12-2 Now, let's simplify the last term: log12 12-2 = log12 (1/144) = -2 Substituting this value, we get: 2 + 4 - (-2) = 8 Therefore, the final answer is 8.

Для упрощения выражения, можно записать корень из 16 как 4, а корень из 1/2 можно представить как 1/√2. Тогда выражение будет выглядеть так: 3 * 4 / b^2 * 3 * 1 / √2 * a * b Далее можно сократить 3 и перемножить числители и знаменатели: 4 * 1 * a = 4a b^2 * √2 * b = b^3 * √2 Итого, получаем: 4a / (b^3 * √2)

To solve this equation, we can start by isolating one of the square roots on one side of the equation: √x^2 -4x+5 - √x +1 = 0 Next, we can square both sides of the equation to eliminate the remaining square root: (x^2 -4x+5) - 2√x^2 -4x+5)(√x -1) + (x-2√x+1) = 0 Simplifying this expression, we get: x^2 -4x+5 - 2√x^3 -6x^2 +3x + 10√x -5√x^2 +1 = 0 Now, we can isolate the remaining square root on one side of the equation and square both sides again: (x^2 -4x+5 -1)^2 = (2√x^3 -6x^2 +3x + 10√x -5√x^2)^2 Simplifying this expression, we get: x^4 -8x^3 +26x^2 -36x +25 = 0 This equation can be solved using various methods, such as factoring or the quadratic formula. However, the solutions