2006 Alabama ARML TST Problems/Problem 5
Problem
There exist positive integers , , , and with no common factor greater than 1, such that
Find .
Solution
Simplifying and taking the logarithms away,
Therefore, , , and . Since and are relatively prime, , , , .
See also
2006 Alabama ARML TST (Problems) | ||
Preceded by: Problem 4 |
Followed by: Problem 6 | |
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