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SMO 2019 Senior Round 1 Question 3

SMO · SMO 2019 Senior Round 1

Question 3

Let $a=4^{3000}$, $b=6^{2500}$ and $c=7^{2000}$. Which of the following statement is true?
  1. $a<b<c$
  2. $a<c<b$
  3. $b<a<c$
  4. $c<a<b$
  5. $c<b<a$