Question

Найдите х. 22 балаааа

Answer 1

$log_{x}(16) = - 0.8, \: x \in (0;1) \cup (1; + \infty ) \\ {x}^{ - 0.8} = 16 \\ {x}^{ - \frac{4}{5} } = {2}^{4} \\ {x}^{ - \frac{4}{5} \times ( - \frac{5}{4}) } = {2}^{4 \times \frac{ - 5}{4} } \\ x = {2}^{ - 5} \\ x = \frac{1}{32}$