SOLUTION: Please help w/ the following: Evaluate: ln( 1/^5 radical e) Thank you.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help w/ the following: Evaluate: ln( 1/^5 radical e) Thank you.      Log On


   



Question 54886: Please help w/ the following:
Evaluate:
ln( 1/^5 radical e)
Thank you.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure you stated this problem the way you meant for it to be stated, and I may be way off base with this, but I'm going to try it anyway. I think the problem you meant to ask is+ln%281%2F%28root%285%2Ce%29%29%29+. Tell me if this is what you meant to ask?

If so, then remember that x%5E%281%2F5%29+=+root%285%2Cx%29 and that x%5E-1=1%2Fx. Put these together and you have x%5E%28-1%2F5%29=+1%2F%28root%285%2Cx%29%29

This last statement in reverse, using "e" to replace the x, looks like this:1%2F%28root%285%2Ce%29%29=e%5E%28-1%2F5%29

Now,
+ln%281%2F%28root%285%2Ce%29%29%29=+ln%28e%5E%28-1%2F5%29%29+=%28-1%29%2F5+.

R^2 at SCC