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expanding expression using properties of logarithms 
![\ln \left[\frac{(3x^6+2) \sqrt{x+8}}{(x-1)^4}\right]=\ln [3x^6+2]+\ln \left[\sqrt{x+8}\right]-\ln \left[(x-1)^4\right]](http://www.mathhelpforum.com/math-help/latex2/img/ded3068a94c398e9f889b9009a22224f-1.gif "\ln \left[\frac{(3x^6+2) \sqrt{x+8}}{(x-1)^4}\right]=\ln [3x^6+2]+\ln \left[\sqrt{x+8}\right]-\ln \left[(x-1)^4\right]")
![=\ln [3x^6+2]+\frac 12 \cdot \ln [x+8]-4 \ln [x-1]](http://www.mathhelpforum.com/math-help/latex2/img/50d7a22f924f6fdc024b03719f96d8ba-1.gif "=\ln [3x^6+2]+\frac 12 \cdot \ln [x+8]-4 \ln [x-1]")
I thought there was much more to it haha.. wow it looked more beautiful just the way it was in the beginning XD.
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