Precalculus Examples

$\log (x) - 5 \log (x + 1)$

Step 1

Simplify $- 5 \log (x + 1)$ by moving $5$ inside the logarithm.

$\log (x) - \log ({(x + 1)}^{5})$

Step 2

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

$\log (\frac{x}{{(x + 1)}^{5}})$