Question

The value of $\sqrt{\left(lo{g}_{0.5}\right(0.5{)}^4)}$ is ___ .

Answer 1

$\sqrt{\left(lo{g}_{0.5}\right(0.5{)}^4)}$

$=\sqrt{\left(\right(4\left)lo{g}_{0.5}\right(0.5\left)\right)}$ { $\because lo{g}_b{a}^m=m.lo{g}_{b}a$}

$=\sqrt{4}$

$=2$