Precalculus Examples

$2^{\log_{8} (125)}$

Step 1

Rewrite $\log_{8} (125)$ as $\log_{8} (5^{3})$ .

$2^{\log_{8} (5^{3})}$

Step 2

Expand $\log_{8} (5^{3})$ by moving $3$ outside the logarithm.

$2^{3 \log_{8} (5)}$