Statement−1: If xlogx(3−x)2=25, then x=−2
Statement−2:alogax=x, if a>0,x>0 and a≠1.
A
Statement−1 is true, Statement−2 is true; Statement−2 is a correct explanation for Statement−1.
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B
Statement−1 is true, Statement−2 is true; Statement−2 is NOT a correct explanation for Statement−1.
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C
Statement−1 is true, Statement−2 is false.
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D
Statement−1 is false, Statement−2 is true.
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Solution
The correct option is D Statement−1 is false, Statement−2 is true. xlogx(3−x)2=25 ⇒(3−x)2=25,x>0andx≠1[∵alogax=x] ⇒3−x=±5 ⇒x=−2,x=8
Hence, statement−2 is true but statement−1 is false.