Precalculus Examples

$\log (\frac{y^{9}}{z^{9}})$

Step 1

Rewrite $\log (\frac{y^{9}}{z^{9}})$ as $\log (y^{9}) - \log (z^{9})$ .

$\log (y^{9}) - \log (z^{9})$

Step 2

Expand $\log (y^{9})$ by moving $9$ outside the logarithm.

$9 \log (y) - \log (z^{9})$

Step 3

Expand $\log (z^{9})$ by moving $9$ outside the logarithm.

$9 \log (y) - (9 \log (z))$

Step 4

Multiply $9$ by $- 1$ .

$9 \log (y) - 9 \log (z)$