AMC 10B 2005 Problem 17

Suppose that 4^{a}=5,5^{b}=6,6^{c}=7, and 7^{d}=8. What is a \cdot b \cdot c \cdot d ?

Answer Choices
A. 1
B. \dfrac{3}{2}
C. 2
D. \dfrac{5}{2}
E. 3