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CAT 2019 Logarithms — Previous Year Question

Year

CAT 2019

Section

Quantitative

Topic

Logarithms

Difficulty

Hard

Question

Slot-1

Let xx and yy be positive real numbers such that log5(x+y)+log5(xy)=3\log_{5} (x + y) + \log_{5} (x - y) = 3, and log2ylog2x=1log23\log_{2} y - \log_{2} x = 1 - \log_{2} 3. Then xyxy equals

25

150

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