Precalculus Examples

$\log (\frac{a^{3}}{b^{4}})$

Step 1

Rewrite $\log (\frac{a^{3}}{b^{4}})$ as $\log (a^{3}) - \log (b^{4})$ .

$\log (a^{3}) - \log (b^{4})$

Step 2

Expand $\log (a^{3})$ by moving $3$ outside the logarithm.

$3 \log (a) - \log (b^{4})$

Step 3

Expand $\log (b^{4})$ by moving $4$ outside the logarithm.

$3 \log (a) - (4 \log (b))$

Step 4

Multiply $4$ by $- 1$ .

$3 \log (a) - 4 \log (b)$