Inspired by Otto Bretscher

Algebra Level 4

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

Find all positive solutions \(x\) of the equation above.

Notation: \(\pi=3.14159...\)

This question is part of the set All-Zebra

None of the given options. \[\sqrt{\pi}\] No solution exists \[\sqrt[\infty]{\pi}\] \[\sqrt[\pi]{\pi}\] More than one solution exists.

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