Precalculus Examples

$\log_{b} (u^{7} v^{5})$

Step 1

Rewrite $\log_{b} (u^{7} v^{5})$ as $\log_{b} (u^{7}) + \log_{b} (v^{5})$ .

$\log_{b} (u^{7}) + \log_{b} (v^{5})$

Step 2

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

$7 \log_{b} (u) + \log_{b} (v^{5})$

Step 3

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

$7 \log_{b} (u) + 5 \log_{b} (v)$