A Log-Constraint Minimum

★ 5/10functions Substitution algebra Logarithms inequality

Problem

Let $x, y \in \mathbb{R}$ with

\log_4(x + 2y) + \log_4(x - 2y) = 1.

Find the minimum value of $x - |y|$ .

Answer

Solution

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

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