Algebra Examples

$\log_{b} (x^{5} z)$

Step 1

Rewrite $\log_{b} (x^{5} z)$ as $\log_{b} (x^{5}) + \log_{b} (z)$ .

$\log_{b} (x^{5}) + \log_{b} (z)$

Step 2

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

$5 \log_{b} (x) + \log_{b} (z)$