Precalculus Examples

$\log_{a} (u^{2} v^{2})$

Step 1

Rewrite $\log_{a} (u^{2} v^{2})$ as $\log_{a} (u^{2}) + \log_{a} (v^{2})$ .

$\log_{a} (u^{2}) + \log_{a} (v^{2})$

Step 2

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

$2 \log_{a} (u) + \log_{a} (v^{2})$

Step 3

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

$2 \log_{a} (u) + 2 \log_{a} (v)$