Three Exponential Steps

★ 5/10functions Logarithms AM-GM inequality

Problem

Let $a = \dfrac{3}{2}$ , and let $b, c$ satisfy $3^b = 5$ and $5^c = 8$ . Arrange $a, b, c$ in increasing order, with proof.

Answer

Solution

Difficulty	5/10
Topics	functions, Logarithms, AM-GM, inequality

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