I'm trying to write an equation for all the infinite values of the equation

Question

-i ln(2 + sqrt(3) )

people have told me that its

pi(2n + 1) -i ln(2 + sqrt(3) )

I don't see how so I plug in numbers for n and don't get the same answer usign my calculator please explain what I plug in for n to get the same answer... please help me find the expression for all possible answers along with an example showing that they are equal to each other becasue I'm kind of lost