Question

Qual o log 16 na base raiz quadrada de 2?

Answer 1

$log _{ \sqrt{2} }16=x$

$(\sqrt{2}) ^{x}=16$

$( \sqrt[2]{2 ^{1} }) ^{x}=2 ^{4}$

$(2 ^{ \frac{1}{2} }) ^{x}=2 ^{4}$

$2 ^{ \frac{x}{2} }=2 ^{4}$

$\frac{x}{2}=4$

$x=8$