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

$\log(x^2+1)-3\log(x)$
Since $\log(a/b)=\log(a)-\log(b)$, the expression can be simplified to $\log(x^2+1)-\log(x^3)$. The $\log(x^2+1)$ cannot be simplified but $\log(x^3)$ can be simplified using the fact that $\log a^b=b\log a$. Thus, the expression simplifies to $\log(x^2+1)-3\log(x)$