Difference between revisions of "2005 AIME II Problems/Problem 5"

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== See Also ==
 
== See Also ==
  
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*[[2005 AIME II Problems/Problem 4| Previous problem]]
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*[[2005 AIME II Problems/Problem 6| Next problem]]
 
*[[2005 AIME II Problems]]
 
*[[2005 AIME II Problems]]
  
  
 
[[Category:Intermediate Algebra Problems]]
 
[[Category:Intermediate Algebra Problems]]

Revision as of 20:56, 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