Simplify/Condense natural log of x-3 natural log of x+1

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

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

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

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

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