Which equation is equivalent to log3(2x4 + 8x3) – 3log3x = 2log3x?

Use the quotient rule for logarithms: log₃(2x⁴ + 8x³) − 3log₃x = log₃((2x⁴ + 8x³)/x³). Factoring and simplifying gives log₃(2x + 8), while 2log₃x = log₃x². Thus the equivalent equation is log₃(2x + 8) = log₃x², choice C.

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