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2005 AMC 12B Question 13

AMC12 · 2005 AMC 12B

Question 13

Suppose that $4^{x_1} = 5,$ $5^{x_2} = 6,$ $6^{x_3} = 7,$ $\ldots,$ $127^{x_{124}} = 128.$ What is $x_1 x_2 \cdots x_{124}?$
  1. $2$
  2. $\dfrac{5}{2}$
  3. $3$
  4. $\dfrac{7}{2}$
  5. $4$