Precalculus Examples

$\log_{3} (x^{- 2} y^{3})$

Step 1

Rewrite $\log_{3} (x^{- 2} y^{3})$ as $\log_{3} (x^{- 2}) + \log_{3} (y^{3})$ .

$\log_{3} (x^{- 2}) + \log_{3} (y^{3})$

Step 2

Expand $\log_{3} (x^{- 2})$ by moving $- 2$ outside the logarithm.

$- 2 \log_{3} (x) + \log_{3} (y^{3})$

Step 3

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

$- 2 \log_{3} (x) + 3 \log_{3} (y)$