Precalculus Examples

$\log_{9} (\frac{x^{6}}{y^{3}})$

Step 1

Rewrite $\log_{9} (\frac{x^{6}}{y^{3}})$ as $\log_{9} (x^{6}) - \log_{9} (y^{3})$ .

$\log_{9} (x^{6}) - \log_{9} (y^{3})$

Step 2

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

$6 \log_{9} (x) - \log_{9} (y^{3})$

Step 3

Expand $\log_{9} (y^{3})$ by moving $3$ outside the logarithm.

$6 \log_{9} (x) - (3 \log_{9} (y))$

Step 4

Multiply $3$ by $- 1$ .

$6 \log_{9} (x) - 3 \log_{9} (y)$