Given g(x) = log₃(3x + 2), select ALL of the functions that are equivalent. For each function that you selected, explain why it is equivalent to g(x).
Options:
A. a(x) = log₃(125) + log₃(25x)
B. b(x) = log₃(75x)
C. c(x) = log₃(9r) - log₃(3) - log₃(√625) + log₃(1)
D. d(x) = log₅₀(50) + log₃(36r) - log₃(4) - log₃(3) + log₃(2)