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Question

If loge(a+b2)=12(loge a+loge b), then relation between a and b will be

A
a=b
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B
a=b2
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C
2a=b
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D
a=b3
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Solution

The correct option is A a=b
loge(a+b2)=12(loge a+loge b)
R.H.S =12loge(ab)=logeab
a+b2=aba+b=2ab
(ab)2=0ab=0a=b

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