Precalculus Examples

$\log_{6} (17 x^{6})$

Step 1

Rewrite $\log_{6} (17 x^{6})$ as $\log_{6} (17) + \log_{6} (x^{6})$ .

$\log_{6} (17) + \log_{6} (x^{6})$

Step 2

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

$\log_{6} (17) + 6 \log_{6} (x)$