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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.


site keeps telling me it doesn't qualify the question standard, please help.

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    $\begingroup$ Your question might be too short. By the way, your inequality fails for $x=1$. $\endgroup$ – Rasmus Oct 12 '11 at 22:03
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There is a black box containing some sort of filter that automatically takes out some questions. I would recommend expanding the question just a bit - say where it came from and what your thoughts are (always good anyway), and it is likely that the black box will stop being fickle.

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