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2022 AMC 12A Question 11

AMC12 · 2022 AMC 12A

Question 11

What is the product of all real numbers $x$ such that the distance on the number line between $\log_6 x$ and $\log_6 9$ is twice the distance on the number line between $\log_6 10$ and $1?$
  1. $10$
  2. $18$
  3. $25$
  4. $36$
  5. $81$