Precalculus Examples

$\log (x y) - 3 \log (w)$

Step 1

Simplify $- 3 \log (w)$ by moving $3$ inside the logarithm.

$\log (x y) - \log (w^{3})$

Step 2

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log (\frac{x y}{w^{3}})$