已知 a=32,3b=5,5c=8a = \frac{3}{2},{3}^{b} = 5,{5}^{c} = 8a=23,3b=5,5c=8 ,则( )A. a<b<ca < b < ca<b<c B. a<c<ba < c < ba<c<b C. c<b<ac < b < ac<b<a D. b<c<ab < c < ab<c<a