Expand the Logarithmic Expression log base square root of a of a^2

$\log_{\sqrt{a}} (a^{2})$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{a}$ as $a^{\frac{1}{2}}$ .

$\log_{a^{\frac{1}{2}}} (a^{2})$