Question: Prove that if a > 0, a 1, then alogax = x for all x (0, ) and loga(ay) = y for all

Prove that if a > 0, a ≠ 1, then alogax = x for all x ∈ (0, ∞) and loga(ay) = y for all y ∈ R. Therefore the function x → logax on (0, →) to R is inverse to the function y → ay on R.

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