Simplify the following :

log a³ ÷ log a²

Given,

log a³ ÷ log a²

$\Rightarrow \dfrac{\text{log a}^3}{\text{log a}^2} \\[1em] \Rightarrow \dfrac{3\text{log a}}{2\text{log a}} \\[1em] \Rightarrow \dfrac{3}{2}.$

Hence, log a³ ÷ log a² = $\dfrac{3}{2}.$