Question

alguem sabe qual a Log raiz8 4=x

Answer 1

$\log_{\sqrt{8}}\,4 = x \\ \\ (\sqrt{8})^x=4 \\ \\ \left(\sqrt{2^3}\right)^x= 2^2 \\ \\ \left(2^{ \frac{3}{2}\right)^x=2^2 \\ \\ 2^{ \frac{3x}{2}}=2^2 \\ \\ \\ \frac{3x}{2} = 2 \\ \\ 3x = 4 \\ \\ \boxed{x= \frac{4}{3} }$