Precalculus Examples

$\log_{6} (\frac{x - 7}{x^{6}})$

Step 1

Rewrite $\log_{6} (\frac{x - 7}{x^{6}})$ as $\log_{6} (x - 7) - \log_{6} (x^{6})$ .

$\log_{6} (x - 7) - \log_{6} (x^{6})$

Step 2

Expand $\log_{6} (x^{6})$ by moving $6$ outside the logarithm.

$\log_{6} (x - 7) - (6 \log_{6} (x))$

Step 3

Multiply $6$ by $- 1$ .

$\log_{6} (x - 7) - 6 \log_{6} (x)$