Question

Calcule o logaritmo de 16 na base 32.

Answer 1

$log_{32}16=x\\ \\ 32^x=16\\ \\ 2^{5x}=2^4\\ \\ 5x=4\\ \\ \boxed{x=\frac{4}{5}}$

Answer 2

log$\frac{8}{2}=x$⇒$32^{x}=16$⇒$( 2^{5})x= 2^{4}$⇒$2^{5.x}= 2^{4}$⇒$2^{5.x} = 2^{4}$⇒5x=4 (x=$\frac{4}{5}$)
Resposta: x=$\frac{4}{5}$