Expand log base 2 of cube root of x

$\log_{2} (\sqrt[3]{x})$

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

$\log_{2} (x^{\frac{1}{3}})$

Expand $\log_{2} (x^{\frac{1}{3}})$ by moving $\frac{1}{3}$ outside the logarithm.

$\frac{1}{3} \log_{2} (x)$

Combine $\frac{1}{3}$ and $\log_{2} (x)$ .

$\frac{\log_{2} (x)}{3}$

Expand log base 2 of cube root of x

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