Expand the Logarithmic Expression log base 8 of square root of k

$\log_{8} (\sqrt{k})$

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

$\log_{8} (k^{\frac{1}{2}})$

Expand $\log_{8} (k^{\frac{1}{2}})$ by moving $\frac{1}{2}$ outside the logarithm.

$\frac{1}{2} \log_{8} (k)$

Combine $\frac{1}{2}$ and $\log_{8} (k)$ .

$\frac{\log_{8} (k)}{2}$