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Question

Find the minimum value of loga b+logb a (where a and b are not equal to 1).


A

1

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B

2

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C

3

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D

4

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Solution

The correct option is B

2


loga b+logb a=loga b+1loga b

Using A.M.G.M. -
loga b+1loga b2loga b×1loga bloga b+1loga b2


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