## Precalculus: Mathematics for Calculus, 7th Edition

$\log (\frac{x^2}{(x+1)^3})$
$Combine$ $the$ $expression$: $2$$\log x - 3$$\log (x+1)$ Apply the Third Law of Logarithms for $2$$\log x and 3$$\log (x+1)$ $2$$\log x = \log x^2 3$$\log (x+1)$ = $\log (x+1)^3$ $\log x^2$ - $\log (x+1)^3$ Apply the Second Law of logarithms $\log x^2$ - $\log (x+1)^3$ = $\log (\frac{x^2}{(x+1)^3})$