Question 490996
Is -x the exponent of x?
{{{2x^(-x) = 1}}}
{{{x^(-x) = 1/2}}}
{{{1/x^x = 1/2}}}
{{{x^x = 2}}}
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That can be solved using numerical methods such as successive approximation.
A power series or other series might do it, too, but I suspect this is not the problem you were given.