Trigonometry Examples

$\log_{5} (\frac{x - 8}{x^{8}})$

Step 1

Rewrite $\log_{5} (\frac{x - 8}{x^{8}})$ as $\log_{5} (x - 8) - \log_{5} (x^{8})$ .

$\log_{5} (x - 8) - \log_{5} (x^{8})$

Step 2

Expand $\log_{5} (x^{8})$ by moving $8$ outside the logarithm.

$\log_{5} (x - 8) - (8 \log_{5} (x))$

Step 3

Multiply $8$ by $- 1$ .

$\log_{5} (x - 8) - 8 \log_{5} (x)$