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## x to the Power of x

Permanent link to this puzzle: mscroggs.co.uk/puzzles/10
If $$x^{x^{x^{x^{...}}}}$$ [$$x$$ to the power of ($$x$$ to the power of ($$x$$ to the power of ($$x$$ to the power of ...))) with an infinite number of $$x$$s] is equal to 2, what is the value of $$x$$?
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