2006 AIME I Problems/Problem 9: Difference between revisions
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== Solution == | == Solution == | ||
<math>\log_8 a_1+\log_8 a_2+\ldots+\log_8 | <math>\log_8 a_1+\log_8 a_2+\ldots+\log_8 a_{12}= | ||
\log_8 a+log_8 (a*r)+\ldots+\log_8 (a*r^ | \log_8 a+log_8 (a*r)+\ldots+\log_8 (a*r^{11})</math> | ||
== See also == | == See also == | ||
Revision as of 13:46, 3 August 2006
Problem
The sequence
is geometric with
and common ratio
where
and
are positive integers. Given that
find the number of possible ordered pairs
Solution