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Question

If xy2=4 and log3(log2x)+log1/3(log1/2y)=1, then x is equal to

A
4
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B
8
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C
16
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D
64
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Solution

The correct option is D 64
xy2=4 ...(1)
log3(log2x)+log13(log12y)=1log3(log2x)log3(log12y)=1log3log2xlog12y=1log2xlog2y=3log2x=log2y3
xy3=1 ...(2)
From (1) & (2)
x=64&y=14
Ans: D

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