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CAT 2019 Logarithms — Previous Year Question

Paper

CAT 2019

Section

Quantitative

Topic

Logarithms

Difficulty

Hard

Question

CAT 2019

Slot-1

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

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