If `a , b , c` are consecutive positive integers and `(log(1+a c)=2K ,` then the value of `K` is (a) `logb` (b) `loga` (c) 2 (d) 1

Explanation

a=m

b=m+1

c=m+2

`log(1+ac)=2k`

LHS

`=log(1+ac)`

`=log(1+m(m+2))`

`=log(1+m^2+2m)`

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