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1981 AMC 12 Question 15

AMC12 · 1981 AMC 12

Question 15

If $b\gt1,$ $x\gt0,$ and $(2x)^{\log_b2}-(3x)^{\log_b3}=0,$ then $x$ is
  1. $\frac1{216}$
  2. $\frac16$
  3. $1$
  4. $6$
  5. not uniquely determined