Precalculus Examples

$5 (\log (x) - \log (y))$

Step 1

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

$5 \log (\frac{x}{y})$

Step 2

Simplify $5 \log (\frac{x}{y})$ by moving $5$ inside the logarithm.

$\log ({(\frac{x}{y})}^{5})$

Step 3

Apply the product rule to $\frac{x}{y}$ .

$\log (\frac{x^{5}}{y^{5}})$