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 a_12= | <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^11)</math> | \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
