The problem is to solve the logarithmic equation $\log_{3} x = 2$ for $x$.

1. Problem Description

The problem is to solve the logarithmic equation $\log_{3} x = 2$ for $x$.

2. Solution Steps

To solve for $x$ in the equation $\log_{3} x = 2$, we can rewrite the equation in exponential form. The general form of a logarithmic equation is $\log_b a = c$, which can be rewritten as $b^c = a$. Applying this to the given equation, we have:

$\log_{3} x = 2$

Converting the logarithmic equation to exponential form, we get

$3^2 = x$

Calculating $3^2$, we have

$x = 9$

3. Final Answer

$x = 9$