Precalculus Examples

$\log_{5} (\frac{x^{10}}{x - 4})$

Step 1

Rewrite $\log_{5} (\frac{x^{10}}{x - 4})$ as $\log_{5} (x^{10}) - \log_{5} (x - 4)$ .

$\log_{5} (x^{10}) - \log_{5} (x - 4)$

Step 2

Expand $\log_{5} (x^{10})$ by moving $10$ outside the logarithm.

$10 \log_{5} (x) - \log_{5} (x - 4)$