Calculus Examples

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

Step 1

Simplify $- 2 \ln (x^{2} + 1)$ by moving $2$ inside the logarithm.

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

Step 2

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

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