Answer:The correct answer is option 32log₅x - 2 log₅4Step-by-step explanation:Points to remember1). logₐ(x/y) = logₐx - logₐy2). logₐx² = 2logₐxFrom the above we can write,log₅(x/4)² = 2log₅(x/4) = 2[log₅(x/4)] = 2[ log₅x - log₅4] = 2log₅x -2 log₅4]From the given expression we get the correct answer is option 32log₅x - 2 log₅4