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Question

If loga3=2 and logb8=3 then logab is -

A
log32
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B
log23
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C
log34
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D
log43
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Solution

The correct option is B log34
Given,
loga3=2
log32=loga[logba=logalogb]
And,
logb8=3
log83=logb
Then,
logab=logbloga=log83×2log3=3log2×23log3
logab=log4log3=log34
So, option C is correct

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