Question

log1/4 2 raiz quadrada de 2

Answer 1

Olá,

$log_ \frac{1}{4} 2 \sqrt{2} =x \\\\ ( \frac{1}{4} )^x = 2 \sqrt{2} \\ (2^{-2})^x = 2*2^{ \frac{1}{2} } \\ 2^{-2x} = 2^{1+ \frac{1}{2}} \\ 2^{-2x} = 2^{\frac{3}{2} } \\ -2x = \frac{3}{2} \\ -4x = 3 \\ x = - \frac{3}{4}$

Bons estudos ;)