Expand the Logarithmic Expression natural log of 15 root of x

$\ln (\sqrt[15]{x})$

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[15]{x}$ as $x^{\frac{1}{15}}$ .

$\ln (x^{\frac{1}{15}})$

Expand $\ln (x^{\frac{1}{15}})$ by moving $\frac{1}{15}$ outside the logarithm.

$\frac{1}{15} \ln (x)$

Combine $\frac{1}{15}$ and $\ln (x)$ .

$\frac{\ln (x)}{15}$