Expand the Logarithmic Expression log of cube root of u^3

$\log (\sqrt[3]{u^{3}})$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{u^{3}}$ as $u^{\frac{3}{3}}$ .

$\log (u^{\frac{3}{3}})$

Step 2

Divide $3$ by $3$ .

$\log (u^{1})$

Step 3

Expand $\log (u^{1})$ by moving $1$ outside the logarithm.

$1 \log (u)$

Step 4

Multiply $\log (u)$ by $1$ .

$\log (u)$