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 $(a,b)$ of integers such that $\log_a b + 6\log_b a=5, 2 \leq a \leq 2005,$ and $2 \leq b \leq 2005.$

Solution

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See Also

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