Solve ` log_(3)(x-2) le 2`.

Explanation

To solve the inequality \( \log_{3}(x-2) \leq 2 \), we will follow these steps:

### Step 1: Rewrite the logarithmic inequality in exponential form
The inequality \( \log_{3}(x-2) \leq 2 \) can be rewritten in exponential form. This means:
\[ x - 2 \leq 3^2 \]
Calculating \( 3^2 \):
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