# Simplifying natural logarithmic equations

Use the facts that $$\ln M +\ln N =\ln MN$$ and $$\ln M -\ln N =\ln \frac{M}{N}$$ and $$a\ln M =\ln M ^a$$ Then your answer will come out to be $\ln\frac {(x^2+x+1)(x-1)^\frac {2}{3}}{x^2}$.