Precalculus Examples

$\log_{6} (u^{4} v^{4})$

Step 1

Rewrite $\log_{6} (u^{4} v^{4})$ as $\log_{6} (u^{4}) + \log_{6} (v^{4})$ .

$\log_{6} (u^{4}) + \log_{6} (v^{4})$

Step 2

Expand $\log_{6} (u^{4})$ by moving $4$ outside the logarithm.

$4 \log_{6} (u) + \log_{6} (v^{4})$

Step 3

Expand $\log_{6} (v^{4})$ by moving $4$ outside the logarithm.

$4 \log_{6} (u) + 4 \log_{6} (v)$