Expand the Logarithmic Expression log of square root of x

$\log (\sqrt{x})$

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

$\log (x^{\frac{1}{2}})$

Expand $\log (x^{\frac{1}{2}})$ by moving $\frac{1}{2}$ outside the logarithm.

$\frac{1}{2} \log (x)$

Combine $\frac{1}{2}$ and $\log (x)$ .

$\frac{\log (x)}{2}$