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If ((x^x)^x)=2 then what is x^2 equal to.
Never managed to solve it after hours of trying, when my friend explained it to me it didn't feel right.

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  • $\begingroup$ $x=\sqrt 2$, since this equation is equivalent to $x^{x^2}=2$ (and yes, this question is quite off-topic here) $\endgroup$ – Carlo Beenakker yesterday

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