Question of the week 30-Apr-2020

Q) If (1 + 1/a)^(a+1) = (1 + 1/100)^100, then the value of 'a' is ____

Previous question here. It is solvable in less than 40 seconds provided you know the trick that i will be discussing in the book. Your answer only with a logical explanation is welcomed in the comments section.