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Find the minimum of \(x-y\) among all ordered pairs of real numbers \((x,y)\)\(x \) and \(y \) between 0 and 1, where there exists a real number \(a \neq 1\) such that \( \log_{x}a + \log_{y}a = 4\log_{xy}a\)

 May 18, 2021
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The minimum value of x - y is 2.

 May 19, 2021

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