# 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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