Precalculus Examples

$\log_{6} (c^{5 \sqrt[3]{a}})$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{a}$ as $a^{\frac{1}{3}}$ .

$\log_{6} (c^{5 a^{\frac{1}{3}}})$

Step 2

Expand $\log_{6} (c^{5 a^{\frac{1}{3}}})$ by moving $5 a^{\frac{1}{3}}$ outside the logarithm.

$5 a^{\frac{1}{3}} \log_{6} (c)$