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For each ordered pair of real numbers(π‘₯, 𝑦) satisfying log2(2π‘₯+𝑦) = log 4(4π‘₯𝑦), let𝑃(π‘₯, 𝑦) =π‘₯ 2 +𝑦 2. Find the maximum value of𝑃(π‘₯, 𝑦)

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