Precalculus Examples

$\log (\frac{x^{3}}{y^{4}})$

Step 1

Rewrite $\log (\frac{x^{3}}{y^{4}})$ as $\log (x^{3}) - \log (y^{4})$ .

$\log (x^{3}) - \log (y^{4})$

Step 2

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

$3 \log (x) - \log (y^{4})$

Step 3

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

$3 \log (x) - (4 \log (y))$

Step 4

Multiply $4$ by $- 1$ .

$3 \log (x) - 4 \log (y)$