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SMO 2005 Senior Round 1 Question 5

SMO · SMO 2005 Senior Round 1

Question 5

$5002^{2005\log_{5002}2005}$ is equal to which of the following?
  1. $1$
  2. $2005^{2005}$
  3. $5002^{2005}$
  4. $2005^{5002}$
  5. $5002^{5002}$