More generally: ln(a) is transcendental for algebraic a not equal to 1 (Lindemann).
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Shouldn't the declaration read for some 'positive' integers a and b.
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It follows from Gelfond-Schneider Theorem (1934): If a & b ∈ 𝔸, a ≠ 0,1 and b irrational, then aᵇ is transcendental.
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