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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: High school
Topic ID: 180
Message ID: 1
#1, RE: how to solve x^x=a
Posted by alexb on Jun-21-02 at 00:19 AM
In response to message #0
>I have tried hard to
>solve the problem but i couldnt do it.

You probably tried to express the solution by means of the so-called elementary function, right? sin(x), cos(x), xn, ax, etc... This is impossible.

The solution to xx = a is given by the Lambert function invent specifically for that purpose. See, for example,

http://mathworld.wolfram.com/LambertsW-Function.html