Question

raiz quinta de 2^x=1/32

Answer 1

$\sqrt[5]{2^{x}} = \frac{1}{32} \\\\\\2^{ \frac{x}{5} }=32^{-1}\\\\\\2^{ \frac{x}{5} }=(2^{5})^{-1}\\\\\\2^{ \frac{x}{5} }=2^{-5}\\\\\\\\ \frac{x}{5} =-5\\\\x=-5.5\\\\\boxed{\boxed{x=-25}}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ok$