MathDB
x^y = r where x,y irrationals and r natural >1

Source: Czech and Slovak Olympiad 1984, National Round, Problem 4

September 11, 2024
number theoryalgebrairrational numberrational

Problem Statement

Let rr be a natural number greater than 11. Then there exist positive irrational numbers x,yx, y such that xy=rx^y = r . Prove it.
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