Precalculus Examples

$\log_{5} (u^{3} v^{4})$

Step 1

Rewrite $\log_{5} (u^{3} v^{4})$ as $\log_{5} (u^{3}) + \log_{5} (v^{4})$ .

$\log_{5} (u^{3}) + \log_{5} (v^{4})$

Step 2

Expand $\log_{5} (u^{3})$ by moving $3$ outside the logarithm.

$3 \log_{5} (u) + \log_{5} (v^{4})$

Step 3

Expand $\log_{5} (v^{4})$ by moving $4$ outside the logarithm.

$3 \log_{5} (u) + 4 \log_{5} (v)$