If loga(b)=4\log_a(b) = 4loga(b)=4 and logb(c)=5\log_b(c) = 5logb(c)=5, what is the exact value of loga(bc23)\log_{a}(\sqrt[3]{bc^2})loga(3bc2)?
14/314/314/3
777
11/311/311/3
47/347/347/3