SOLUTION: 2x^-x=1

Question 490996: 2x^-x=1
Found 2 solutions by Alan3354, ccs2011:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Is -x the exponent of x?

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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.

Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
Make exponents positive
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This cannot be solved explicitly using elementary operations
see wolfram alpha more explanation
http://www.wolframalpha.com/input/?i=x^x+%3D+2
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You can graph y = x^x, and see where y =2.
If you know calculus you can use Newtons method to approximate the root of f(x) = x^x - 2
Approximate solution is x = 1.5596
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