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x^x=2

x^x=2 equation

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Numerical solution:

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The solution

You have entered [src] 
 x    
x  = 2
$$x^{x} = 2$$
Simplify
The graph
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
      W(log(2))
x1 = e
$$x_{1} = e^{W\left(\log{\left(2 \right)}\right)}$$ 
x1 = exp(LambertW(log(2)))
Sum and product of roots [src] 
sum
 W(log(2))
e
$$e^{W\left(\log{\left(2 \right)}\right)}$$ 
=
 W(log(2))
e
$$e^{W\left(\log{\left(2 \right)}\right)}$$ 
product
 W(log(2))
e
$$e^{W\left(\log{\left(2 \right)}\right)}$$ 
=
 W(log(2))
e
$$e^{W\left(\log{\left(2 \right)}\right)}$$ 
exp(LambertW(log(2)))
Numerical answer [src] 
x1 = 1.55961046946237
x1 = 1.55961046946237
The graph
x^x=2 equation
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