SOLUTION: Simplify logarithms to rewrite the following expressions in terms of u and t. Let ln x=t and ln y = u. [(ln x)^3 - ln (x^4)] / (lnx/e^2)ln(xe^2) This problems is stumping

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Simplify logarithms to rewrite the following expressions in terms of u and t. Let ln x=t and ln y = u. [(ln x)^3 - ln (x^4)] / (lnx/e^2)ln(xe^2) This problems is stumping      Log On


   

Question 630479: Simplify logarithms to rewrite the following expressions in terms of u and t. Let ln x=t and ln y = u.
[(ln x)^3 - ln (x^4)] / (lnx/e^2)ln(xe^2)

This problems is stumping me!!!! I don't know what to do, since some lnx are inside parentheses and others aren't.
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Use the properties
ln%28a%5En%29=n%2Alna,
ln%28a%2Ab%29=lna%2Blnb
ln%28a%2Fb%29=lna-lnb
lne=1
.

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Use the formula %28a-b%29%28a%2Bb%29=a%5E2-b%5E2

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Since ln+x=t
.

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Answer: t