Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.

ln[(x^10)sqrt((x^2)+8)/(x+8)^3

Question

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.

ln[(x^10)sqrt((x^2)+8)/(x+8)^3

anonymous · Answer

10 log x - 3 log (8 + x) + 1/2 log (8 + x^2)

anonymous · Answer

How did you get that?

anonymous · Answer

My online problem says that is incorrect

anonymous · Answer

The original problem expression is missing a closing bracket, "]" .
I put one at the end of the expression.

anonymous · Answer

Oh yeah youre right I forgot that part. So would that change my answer?

anonymous · Answer

Well yes it might.
Post what it should have been and Mathematica will solve in in the snap of a finger.

anonymous · Answer

this is what it looks like

anonymous · Answer

@SolomonZelman help please!

anonymous · Answer

A Mathematica solution is attached.

anonymous · Answer

@emmyvirkus 
The terms may be out of order in relation to the "answer" .
The total expression is still valid.