## Functions Modeling Change: A Preparation for Calculus, 5th Edition

$\frac{2\ln x}{\ln(x+2)}$
Use the fact that $\ln a^b = b \ln a$ to simplify $\ln x^2$ to $2 \ln x$. There is no way to simplify the quotient of logarithms, so $\frac{2\ln x}{\ln(x+2)}$ is the most you can simplify this expression.