Answer
Solution set = $\{ 0.01,100 \}$
Work Step by Step
$3|\log x|-6=0$
$3|\log x|=6$
$|\log x|=2\qquad $ ...$|\log x|=\left\{\begin{array}{ll}
x, & \log x\geq 0\\
-x, & \log x\lt 0
\end{array}\right.$
$\left[\begin{array}{lll}
\log x=-2 & or & \log x=2\\
x=10^{-2}=0.01 & & x=10^{2}=100
\end{array}\right]$
Solution set = $\{ 0.01,100 \}$
