By the Gelfond-Schneider theorem,
if $x^x=2$, $x$ must be transcendental. What can be said of $x$ if $x^{x^x}=2$, $x^{x^{x^x}}=2$ etc.? Must it be transcendental? Of course, $2$ can be replaced by any algebraic number.
Henry Harry Lande M Sc
2026-03-27 11:24:37.1774610677
transcendental numbers as solutions to hyperpowers
46 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in TRANSCENDENTAL-NUMBERS
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