Precalculus Examples

$\log_{6} (u^{5} v^{3})$

Step 1

Rewrite $\log_{6} (u^{5} v^{3})$ as $\log_{6} (u^{5}) + \log_{6} (v^{3})$ .

$\log_{6} (u^{5}) + \log_{6} (v^{3})$

Step 2

Expand $\log_{6} (u^{5})$ by moving $5$ outside the logarithm.

$5 \log_{6} (u) + \log_{6} (v^{3})$

Step 3

Expand $\log_{6} (v^{3})$ by moving $3$ outside the logarithm.

$5 \log_{6} (u) + 3 \log_{6} (v)$