Precalculus Examples

$\log_{b} (\frac{{(0.83)}^{3}}{{(0.56)}^{2}})$

Step 1

Rewrite $\log_{b} (\frac{{(0.83)}^{3}}{{(0.56)}^{2}})$ as $\log_{b} ({(0.83)}^{3}) - \log_{b} ({(0.56)}^{2})$ .

$\log_{b} ({(0.83)}^{3}) - \log_{b} ({(0.56)}^{2})$

Step 2

Expand $\log_{b} ({(0.83)}^{3})$ by moving $3$ outside the logarithm.

$3 \log_{b} (0.83) - \log_{b} ({(0.56)}^{2})$

Step 3

Expand $\log_{b} ({(0.56)}^{2})$ by moving $2$ outside the logarithm.

$3 \log_{b} (0.83) - (2 \log_{b} (0.56))$

Step 4

Multiply $2$ by $- 1$ .

$3 \log_{b} (0.83) - 2 \log_{b} (0.56)$