Determine all possible positive real numbers X that satisfy this equation:

X^0.4X = 0.4^X0.4

Note: For the purposes of the problem, a^bc is equal to a^(b^c)

(In reply to solution by Eigenray)

Thanks Eigenray for your methodology which I confirm having hyperlinked in my solution.

Posted by K Sengupta on 2008-03-21 10:50:29