Precalculus Examples

$\log_{5} (\frac{a}{b^{2}})$

Step 1

Rewrite $\log_{5} (\frac{a}{b^{2}})$ as $\log_{5} (a) - \log_{5} (b^{2})$ .

$\log_{5} (a) - \log_{5} (b^{2})$

Step 2

Expand $\log_{5} (b^{2})$ by moving $2$ outside the logarithm.

$\log_{5} (a) - (2 \log_{5} (b))$

Step 3

Multiply $2$ by $- 1$ .

$\log_{5} (a) - 2 \log_{5} (b)$