Three $\pi$ Logs

★ 5/10functions Monotonicity algebra Logarithms inequality

Problem

Let

a = 4\ln 3^{\pi}, \qquad b = 3\ln 4^{\pi}, \qquad c = 4\ln \pi^3.

Arrange $a, b, c$ in increasing order, with proof.

Answer

Solution

Difficulty	5/10
Topics	functions, Monotonicity, algebra, Logarithms, inequality

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