Precalculus Examples

$\ln (x) + \ln (x^{2} + 1) - \ln (x - 3)$

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\ln (x (x^{2} + 1)) - \ln (x - 3)$

Step 2

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

$\ln (\frac{x (x^{2} + 1)}{x - 3})$