Show that `log_(4)18` is an irrational number.

Explanation

To show that \( \log_{4} 18 \) is an irrational number, we will follow a series of logical steps.

### Step 1: Express \( 18 \) in terms of its prime factors
We can express \( 18 \) as:
\[ 18 = 2 \times 3^2 \]
Thus, we can rewrite \( \log_{4} 18 \) as:
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