Expand the Logarithmic Expression natural log of 14 root of x

$\ln (\sqrt[14]{x})$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[14]{x}$ as $x^{\frac{1}{14}}$ .

$\ln (x^{\frac{1}{14}})$

Expand $\ln (x^{\frac{1}{14}})$ by moving $\frac{1}{14}$ outside the logarithm.

$\frac{1}{14} \ln (x)$

Combine $\frac{1}{14}$ and $\ln (x)$ .

$\frac{\ln (x)}{14}$