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MathNet 2021 — Part 08 Question 56

Math Olympiad Vault · MathNet 2021 — Part 08

Question 56

Three numbers are given: $A=26^{351}$, $B=5^{702}$, and $C=3^{1053}$. Arrange them in increasing order. Which statement below is correct?
  1. $A\lt B\lt C$
  2. $A\lt C\lt B$
  3. $B\lt C\lt A$
  4. $B\lt A\lt C$
  5. $C\lt A\lt B$