# And then we say that it's not possible

Algebra Level 4

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

$\huge x^{x^{x^{x^{.^{.^{x^{16}}}}}}}=16$

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.

This question is part of the set All-Zebra

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