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If \(x^{x^{x^{x^{...}}}}\) [\(x\) to the power of (\(x\) to the power of (\(x\) to the power of (\(x\) to the power of ...))) with an infinite number of \(x\)s] is equal to 2, what is the value of \(x\)?

If you enjoyed this puzzle, check out Sunday Afternoon Maths LXII,

puzzles about number, or a random puzzle.

puzzles about number, or a random puzzle.