A Squared-Log Bound

★ 8/10Extrema calculus Monotonicity Logarithms inequality

Problem

The inequality

(x - a)^2\ln x \leqslant 4e^2

holds for all $x \in (0, 3e]$ . Find the range of possible values of $a$ .

Answer

Solution

Difficulty	8/10
Topics	Extrema, calculus, Monotonicity, Logarithms, inequality

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