# failure to submit a question

I have tried to submit the following question on the math exchange:

I need to prove that:

$$27x^2 < x^{\log_3x}$$

can any one please explain how to solve this type of equation? I have no idea what to do or what to search for.

• Your question might be too short. By the way, your inequality fails for $x=1$. – Rasmus Oct 12 '11 at 22:03