Precalculus Examples

$\log_{2} (a^{2} b^{4})$

Step 1

Rewrite $\log_{2} (a^{2} b^{4})$ as $\log_{2} (a^{2}) + \log_{2} (b^{4})$ .

$\log_{2} (a^{2}) + \log_{2} (b^{4})$

Step 2

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

$2 \log_{2} (a) + \log_{2} (b^{4})$

Step 3

Expand $\log_{2} (b^{4})$ by moving $4$ outside the logarithm.

$2 \log_{2} (a) + 4 \log_{2} (b)$