Precalculus Examples

$\log_{9} (\frac{x^{6}}{y^{6}})$

Step 1

Rewrite $\log_{9} (\frac{x^{6}}{y^{6}})$ as $\log_{9} (x^{6}) - \log_{9} (y^{6})$ .

$\log_{9} (x^{6}) - \log_{9} (y^{6})$

Step 2

Expand $\log_{9} (x^{6})$ by moving $6$ outside the logarithm.

$6 \log_{9} (x) - \log_{9} (y^{6})$

Step 3

Expand $\log_{9} (y^{6})$ by moving $6$ outside the logarithm.

$6 \log_{9} (x) - (6 \log_{9} (y))$

Step 4

Multiply $6$ by $- 1$ .

$6 \log_{9} (x) - 6 \log_{9} (y)$