2013 AIME I Problems/Problem 8
Problem 8
The domain of the function f(x) = arcsin(log
(nx)) is a closed interval of length 
, where m and n are positive integers and m > 1. Find the remainder when the smallest possible sum m + n is divided by 1000.
Solution
The domain of the arcsin function is [-1, 1], so -1 
log(nx) 1.
