And then we say that it's impossible!

Calculus Level 2

xx is a non-negative real number which satisfies the following equation.

xxxx..x2=2\huge x^{x^{x^{x^{.^{.^{x^{2}}}}}}}=2

Then find the value of xx. Correct your answers to three decimal places.

Enter 666 if you come to the conclusion that no such xx exists.

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