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Question

If logk x.log5 k=logx 5, k1, k>0, then x is equal to

A
k
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B
15
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C
5
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D
None of these
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Solution

The correct option is C 5
logk x.log5 k=logx 5log5 x=logx 5
logx 5=1logx 5(logx 5)2=1logx 5=±1
x±1=5x=5,15.

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