Question

log de 4 na base raíz quadrada de oito...? me ajudem!

Answer 1

$log_{ \sqrt{8}} 4=x \\ \\ \sqrt{8}^x=4 \\ (8^ {\frac{1}{2} })^x=4 \\ 2^{3* \frac{x}{2} }=4 \\ \not2^{ \frac{3x}{2} }=\not2^2 \\ \frac{3x}{2} =2 \\ 3x=4\\\boxed{x= \frac{4}{3} }$