Precalculus Examples

$\ln (x - 3) (2 \ln (x - 5) - \ln (x + 5))$

Step 1

Simplify $2 \ln (x - 5)$ by moving $2$ inside the logarithm.

$\ln (x - 3) (\ln ({(x - 5)}^{2}) - \ln (x + 5))$

Step 2

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

$\ln (x - 3) \ln (\frac{{(x - 5)}^{2}}{x + 5})$