Precalculus Examples

$\log (\frac{z}{x^{7}})$

Step 1

Rewrite $\log (\frac{z}{x^{7}})$ as $\log (z) - \log (x^{7})$ .

$\log (z) - \log (x^{7})$

Step 2

Expand $\log (x^{7})$ by moving $7$ outside the logarithm.

$\log (z) - (7 \log (x))$

Step 3

Multiply $7$ by $- 1$ .

$\log (z) - 7 \log (x)$