1997 AHSME Problems/Problem 21
Problem
For any positive integer , let
What is ?
Solution
For positive integers , is rational if and only if for an integer . That's because .
So we actually want to find , since will be over .
Using log properties, we get
, and the answer is
See also
1997 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 20 |
Followed by Problem 22 | |
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