Precalculus Examples

$\log_{2} (32 x^{8})$

Step 1

Rewrite $\log_{2} (32 x^{8})$ as $\log_{2} (32) + \log_{2} (x^{8})$ .

$\log_{2} (32) + \log_{2} (x^{8})$

Step 2

Expand $\log_{2} (x^{8})$ by moving $8$ outside the logarithm.

$\log_{2} (32) + 8 \log_{2} (x)$

Step 3

Logarithm base $2$ of $32$ is $5$ .

$5 + 8 \log_{2} (x)$