Question

Log 4 = -2 na base x

Answer 1

$log_{x}4=-2 \\ \\ 0\ \textless \ x \neq 1 \\ \\ x^{-2}=4 \\ \\ (\frac{1}{x})^2=4 \\ \\ \frac{1}{x^2} =4 \\ \\ 4x^2=1 \\ \\ x^2= \frac{1}{4} \\ \\ x=- \frac{1}{2} \\ \\ ou \\ \\ x= \frac{1}{2}$

Resp. x = 1/2