Precalculus Examples

$\log_{7} (\frac{x^{9}}{x - 5})$

Step 1

Rewrite $\log_{7} (\frac{x^{9}}{x - 5})$ as $\log_{7} (x^{9}) - \log_{7} (x - 5)$ .

$\log_{7} (x^{9}) - \log_{7} (x - 5)$

Step 2

Expand $\log_{7} (x^{9})$ by moving $9$ outside the logarithm.

$9 \log_{7} (x) - \log_{7} (x - 5)$