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HomeCAT PYQsCAT 2019 Question Paper Slot 1Let x and y be positive real numbers such that $$\log_{…
CAT 2019 · Slot 1Quantitative AbilityLogarithms, Surds and IndicesMEDIUM+3 / −1

Let x and y be positive real numbers such that
log⁡5(x+y)+log⁡5(x−y)=3,\log_{5}{(x + y)} + \log_{5}{(x - y)} = 3,log5​(x+y)+log5​(x−y)=3, and log⁡2y−log⁡2x=1−log⁡23\log_{2}{y} - \log_{2}{x} = 1 - \log_{2}{3}log2​y−log2​x=1−log2​3. Then xyxyxy equals

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