\(x>0\)
\(log_3^2x>1\Leftrightarrow log_3^2x-1>0\Leftrightarrow\left(log_3x-1\right)\left(log_3x+1\right)>0\)
\(\Leftrightarrow\left[{}\begin{matrix}log_3x>1\\log_3x< -1\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x>3\\0< x< \frac{1}{3}\end{matrix}\right.\)