Three Constants in Order

★ 6/10algebra Estimation Logarithms inequality

Problem

Let

a = \sqrt{2}, \qquad b = \mathrm{e}^{1/\pi}, \qquad c = \log_2 3.

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

Answer

Solution

Difficulty	6/10
Topics	algebra, Estimation, Logarithms, inequality

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