Expand natural log of 15 root of x

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

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 $\ln (x)$ .

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

Expand natural log of 15 root of x

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