AMC 12B 2005 Problem 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} ?

Answer Choices
A. 2
B. \dfrac{5}{2}
C. 3
D. \dfrac{7}{2}
E. 4