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AMO 2021 – Junior College (Grades 11–12) Question 15

AMO · AMO 2021 – Junior College (Grades 11–12)

Question 15

All logarithms are defined and $2\log(a-b)=\log(2a)+\log(3b)$. Find $a/b$.

Question illustration
  1. $2-\sqrt3$
  2. $4-\sqrt{15}$
  3. $4-\sqrt5$
  4. $2+\sqrt3$
  5. $4+\sqrt{15}$