Question

Log com raiz na base como faz???

Answer 1

(√8)^x=4
(8^1/2)^x=4
8^1/2x=4
(2³)^1/2x=4
2^3/2x=4
2^3/2x=2²
3/2x=2
3x/2=4/2
x=4/3

Answer 2

$log _{\sqrt{8} }4 = x \\ \\ (\sqrt{8}) ^x = 4 \\ \\ ( \sqrt{2^3})^x = 2 ^2 \\ \\ (2^{ \frac{3}{2})^x } = 2^2 \\ \\ \frac{3}{2}x = 2 \\ \\ 3x = 4 \\ \\ \boxed{x = \frac{4}{3} }$

Espero ter ajudado. :))