Precalculus Examples

$3 \ln (x - 1) - \ln (x)$

Step 1

Simplify $3 \ln (x - 1)$ by moving $3$ inside the logarithm.

$\ln ({(x - 1)}^{3}) - \ln (x)$

Step 2

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

$\ln (\frac{{(x - 1)}^{3}}{x})$