Precalculus Examples

$\log_{b} (y^{7} z)$

Step 1

Rewrite $\log_{b} (y^{7} z)$ as $\log_{b} (y^{7}) + \log_{b} (z)$ .

$\log_{b} (y^{7}) + \log_{b} (z)$

Step 2

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

$7 \log_{b} (y) + \log_{b} (z)$