Question

нужна помощь с алгеброй

Answer 1

Ответ:

$log_{x}( \sqrt[3]{xy} ) = log_{x}( {(xy)}^{ \frac{1}{3} } ) = \frac{1}{3} log_{x}(xy) = \frac{1}{3} ( log_{x}(x) + log_{x}(y) ) = \frac{1}{3} (1 + log_{x}(y) ) = \frac{1}{3} + \frac{1}{3} log_{x}(y)$

$log_{x}(y) = 5$

$\frac{1}{3} + \frac{1}{3} \times 5 = \frac{1}{3} + \frac{5}{3} = \frac{6}{3} = 2$