Let m and n be two positive integers greater than 1. If _ 0 ( e^ ( ^n) -e ^m )=- ( e 2 ) then the value of m n is

JEE Advanced 2015 Mathematics question

Let and be two positive integers greater than 1. If

()=-()

then the value of is

Answer: 2

. As , , so

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Question ID VK-026468