Question

The value of the expression $\sqrt{{\log }_{0.5}^{2}8}$ is

Answer 1

$\sqrt{{\log }_{0.5}^{2}8}=\sqrt{({\log }_{0.5}{\left(0.5\right)}^{-3}{)}^2}=\sqrt{{(-3)}^2}=\sqrt{3^2}=3$
$[\because {\log }_{a}a=1]$