Question

$lo{g}_4$ 18 is

• A. A rational number
• B. An irrational number
• C. A prime number
• D. None of these

Answer 1

The correct option is B An irrational number

$lo{g}_{4}18$
$=\frac{1}{2}lo{g}_2\left(3^2.2\right)$
$=\frac{1}{2}(2lo{g}_{2}3+lo{g}_{2}2)$
$=lo{g}_{2}3+\frac{1}{2}$, which is irrational.