SOLUTION: Hi, I would greatly appreciate help solving the following inequality equation. lnx > x^1/3 Note, the right hand is cube root of x Thanks much. -Jian

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, I would greatly appreciate help solving the following inequality equation. lnx > x^1/3 Note, the right hand is cube root of x Thanks much. -Jian      Log On


   

Question 925370: Hi, I would greatly appreciate help solving the following inequality equation.
lnx > x^1/3
Note, the right hand is cube root of x
Thanks much.
-Jian
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Solving that inequality by hand is not easy.

Using a computer, the approximate solution is 6.405 < x < 93.355. (source: http://www.wolframalpha.com/input/?i=ln+x+%3E+x%5E%281%2F3%29)