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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