When $n^m \geqslant m^n$ Always

★ 5/10functions number theory Monotonicity Logarithms inequality

Problem

Let $n$ be a positive integer. If

n^m \geqslant m^n

holds for every positive integer $m$ , find $n$ .

Answer

Solution

Difficulty	5/10
Topics	functions, number theory, Monotonicity, Logarithms, inequality

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