MathDB
Romania NMO 2022 Grade 10 P1

Source: Romania National Olympiad 2022

April 21, 2022
logarithmsalgebraromania

Problem Statement

Let a≠1a\neq 1 be a positive real number. Find all real solutions to the equation ax=xx+log⁡a(log⁡a(x)).a^x=x^x+\log_a(\log_a(x)).
Mihai Opincariu
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