Precalculus Examples

$\log_{2} (x^{3} y^{- 1})$

Step 1

Rewrite $\log_{2} (x^{3} y^{- 1})$ as $\log_{2} (x^{3}) + \log_{2} (y^{- 1})$ .

$\log_{2} (x^{3}) + \log_{2} (y^{- 1})$

Step 2

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

$3 \log_{2} (x) + \log_{2} (y^{- 1})$

Step 3

Expand $\log_{2} (y^{- 1})$ by moving $- 1$ outside the logarithm.

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