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2004 AMC 12B Question 3

AMC12 · 2004 AMC 12B

Question 3

If $x$ and $y$ are positive integers for which $2^x 3^y = 1296,$ what is the value of $x + y?$
  1. $8$
  2. $9$
  3. $10$
  4. $11$
  5. $12$