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Question

Statement1: If xlogx(3x)2=25, then x=2
Statement2: alogax=x, if a>0, x>0 and a1.

A
Statement1 is true, Statement2 is true; Statement2 is a correct explanation for Statement1.
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B
Statement1 is true, Statement2 is true; Statement2 is NOT a correct explanation for Statement1.
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C
Statement1 is true, Statement2 is false.
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D
Statement1 is false, Statement2 is true.
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Solution

The correct option is D Statement1 is false, Statement2 is true.
xlogx(3x)2=25
(3x)2=25, x>0 and x1 [alogax=x]
3x=±5
x=2, x=8
Hence, statement2 is true but statement1 is false.

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