Expand natural log of 10 root of x

$\ln (\sqrt[10]{x})$

Rewrite $\sqrt[10]{x}$ as $x^{\frac{1}{10}}$ .

$\ln (x^{\frac{1}{10}})$

Expand $\ln (x^{\frac{1}{10}})$ by moving $\frac{1}{10}$ outside the logarithm.

$\frac{1}{10} \ln (x)$

Combine $\frac{1}{10}$ and $\ln (x)$ .

$\frac{\ln (x)}{10}$

Expand natural log of 10 root of x

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