Difference between revisions of "2005 AIME II Problems/Problem 5"
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== Problem == | == Problem == | ||
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Determine the number of ordered pairs <math> (a,b) </math> of integers such that <math> \log_a b + 6\log_b a=5, 2 \leq a \leq 2005, </math> and <math> 2 \leq b \leq 2005. </math> | Determine the number of ordered pairs <math> (a,b) </math> of integers such that <math> \log_a b + 6\log_b a=5, 2 \leq a \leq 2005, </math> and <math> 2 \leq b \leq 2005. </math> | ||
== Solution == | == Solution == | ||
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| + | {{solution}} | ||
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== See Also == | == See Also == | ||
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*[[2005 AIME II Problems]] | *[[2005 AIME II Problems]] | ||
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| + | [[Category:Intermediate Algebra Problems]] | ||
Revision as of 17:35, 7 September 2006
Problem
Determine the number of ordered pairs 
of integers such that 
and 
Solution
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