`(log)_4 18` is a rational number (b) an irrational number (c)a prime number (d) none of these

Explanation

To determine whether \( \log_4 18 \) is a rational number, an irrational number, a prime number, or none of these, we can follow these steps:

### Step 1: Rewrite the Logarithm
We start by rewriting \( 18 \) in terms of its prime factors:
\[ 18 = 2 \times 9 = 2 \times 3^2 \]
Thus, we can express \( \log_4 18 \) as:
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