Precalculus Examples

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

Step 1

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

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

Step 2

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

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