Question

Решите уравнение Log X1/32=-5

Answer 1

-5=logx(1/32);
log2(2^-5)=logx(1/32)
log2(1/2^5)=logx(1/32)
log2(1/32)=logx(1/32)
2=X
x=2

Answer 2

$log_x \frac{1}{32}=-5\\\\OD3: \left \{ {{x\ \textgreater \ 0} \atop {x \neq 1}} \right. \\\\x^{-5}= \frac{1}{32} \\\\x^{-5}= \frac{1}{2^5} \\\\x^{-5}=2^{-5}\\\\x=2\; \;\; \; \; (2\ \textgreater \ 0, 2 \neq 1)$
Ответ: 2