Question

Найдите корень уравнения. Решите аж по этапно

Answer 1

$685) 25^{x-11} = frac15\5^{2(x-11)} = 5^{-1}\2(x-11) = -1\2x - 22 = -1\2x = 21\x = frac{21}2$

$686) 9^{x-1} = frac13\3^{2(x-1)} = 3^{-1}\2(x-1) = -1\2x-2 = -1\2x = 1\x = frac12$

$687) 25^{x-7} = frac15\5^{2(x-7)} = 5^{-1}\2x - 14 = -1\2x = 13\x = frac{13}2$

$688) (frac1{16})^{x-9} = 4\4^{-2(x-9)} = 4^1\-2(x-9) = 1\-2x + 18 = 1\-2x = -17\x = frac{17}2$

$689) (frac1{81})^{x-11} = 3\3^{-4(x-11)} = 3^1\-4(x-11) = 1\-4x + 44 = 1\-4x = -43\x = frac{43}4$

$690) (frac1{32})^{x-2} = 2\2^{-5(x-2)} = 2^1\-5(x-2) = 1\-5x + 10 = 1\-5x = -9\x = frac95$