Question

Solve:$2{\log }_{3}x={\log }_{3}36$

Short answer

The solution is$x=\pm 6$

Step-by-step solution

Step 1. Given information 

$2{\log }_{3}x={\log }_{3}36$

Step 2. Solve

Using the power property

$$\begin{gathered} 2{\log }_{3}x={\log }_{3}36 \\ {\log }_3{x}^2={\log }_{3}36 \\ {x}^2=36 \\ x=\pm 6 \end{gathered}$$