AMC 12A 2022 Problem 14

What is the value of

(\log 5)^{3}+(\log 20)^{3}+(\log 8)(\log 0.25)

where log denotes the base-ten logarithm?

Answer Choices
A. \dfrac{3}{2}
B. \dfrac{7}{4}
C. 2
D. \dfrac{9}{4}
E. 3