If p = q^r, q=r^p and r=p^q, prove that prq=1.

Rewrite each given equation as

where each of the last equalities follows from the change-of-base identity,

for any base b > 0 and b ≠ 1. I picked the natural base, e.

Then

as required.

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step-by-step explanation:

a

step-by-step explanation:

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