Question

alguém sabe fazer o logaritmo Paso a Paso
$log_{2 \times \sqrt{2} }( \sqrt{32} ) = x$
​

Answer 1

$log_{2\sqrt{2}}\sqrt{32} = x \\ \\ log_{2^1.2^{0,5}}\sqrt{2^5} = x \\ \\ log_{2^{1,5}}2^{\frac{5}{2}} = x \\ \\ \frac{\frac{5}{2}}{1,5}log_22 = x \\ \\ \frac{5}{2}.1,5 = x \\ \\ 3,75 = x$