Expand natural log of fourth root of x^3

$\ln (\sqrt[4]{x^{3}})$

Rewrite $\sqrt[4]{x^{3}}$ as ${(x^{3})}^{\frac{1}{4}}$ .

$\ln ({(x^{3})}^{\frac{1}{4}})$

Expand $\ln ({(x^{3})}^{\frac{1}{4}})$ by moving $\frac{1}{4}$ outside the logarithm.

$\frac{1}{4} \ln (x^{3})$

Expand $\ln (x^{3})$ by moving $3$ outside the logarithm.

$\frac{1}{4} (3 \ln (x))$

Multiply $\frac{1}{4} (3 \ln (x))$ .

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Combine $3$ and $\frac{1}{4}$ .

$\frac{3}{4} \ln (x)$

Combine $\frac{3}{4}$ and $\ln (x)$ .

$\frac{3 \ln (x)}{4}$

Expand natural log of fourth root of x^3