Precalculus Examples

$\log_{7} (u^{6} v^{2})$

Step 1

Rewrite $\log_{7} (u^{6} v^{2})$ as $\log_{7} (u^{6}) + \log_{7} (v^{2})$ .

$\log_{7} (u^{6}) + \log_{7} (v^{2})$

Step 2

Expand $\log_{7} (u^{6})$ by moving $6$ outside the logarithm.

$6 \log_{7} (u) + \log_{7} (v^{2})$

Step 3

Expand $\log_{7} (v^{2})$ by moving $2$ outside the logarithm.

$6 \log_{7} (u) + 2 \log_{7} (v)$