Difference between revisions of "2005 AMC 12A Problems/Problem 23"

 
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== Problem ==
 
== Problem ==
Two distinct numbers a and b are chosen randomly from the set {<math>2, 2^2, 2^3, ..., 2^{25}</math>}. What is the probability that log_a b is an integer?
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Two distinct [[numbers]] a and b are chosen randomly from the set {<math>2, 2^2, 2^3, ..., 2^{25}</math>}. What is the probability that log_a b is an [[integer]]?
  
 
== Solution ==
 
== Solution ==

Revision as of 08:15, 9 September 2007

Problem

Two distinct numbers a and b are chosen randomly from the set {$2, 2^2, 2^3, ..., 2^{25}$}. What is the probability that log_a b is an integer?

Solution

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See also