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

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== Problem == | == Problem == | ||

− | + | 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> | |

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== Solution == | == Solution == | ||

== See Also == | == See Also == | ||

*[[2005 AIME II Problems]] | *[[2005 AIME II Problems]] |

## Revision as of 23:20, 8 July 2006

## Problem

Determine the number of ordered pairs of integers such that and