Simplify $$g(x)=\frac{(\tan^3x)}{e^{3x^3}x^7}.$$ I've tried simplifying this function using the properties of the natural logarithm, but no matter how I format it, it will not accept my answer as correct.
I know that $\ln(a/b)= \ln(a)-\ln(b)$, as well as that $\ln(ab)=\ln(a)+\ln(b)$, my answer to the question so far is..
$$[\ln(\tan(x)^3), 3x^3, 7\ln(x)]$$
As far as I know that is exactly what the question is asking, so I was wondering what am I doing wrong?
$$\begin{align*}\ln|g(x)|&=\ln(\tan^3x)-\ln(e^{3x^3}x^7) \\ \ln|g(x)|&=3\ln(\tan x)-3x^3\ln(e)-7\ln(x) \\ \ln|g(x)|&=3\ln(\tan x)-3x^3-7\ln(x)\end{align*}$$