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Suppose log(a)b+log(b)a=c. The smallest ...

Suppose `log_(a)b+log_(b)a=c`. The smallest possible integer value of c for all `a, b gt 1` is -

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
`c=log_(a) b+1/(log_(a) b) ge 2`
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