Algebra Examples

$\log_{b} (x^{2} y)$

Step 1

Rewrite $\log_{b} (x^{2} y)$ as $\log_{b} (x^{2}) + \log_{b} (y)$ .

$\log_{b} (x^{2}) + \log_{b} (y)$

Step 2

Expand $\log_{b} (x^{2})$ by moving $2$ outside the logarithm.

$2 \log_{b} (x) + \log_{b} (y)$