And then we say that it's impossible!

Calculus Level 3

\(x\) is a non-negative real number which satisfies the following equation.

\(\huge x^{x^{x^{x^{.^{.^{x^{2}}}}}}}=2\)

Then find the value of \(x\). Correct your answers to three decimal places.

Enter 666 if you come to the conclusion that no such \(x\) exists.

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