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Question:

Let * be a binary operation on the set of all non-zero real numbers, given by ab = ab/5 for all a, b ∈ R - {0}. Find the value of x, given that 2(x*5) = 10.

Solution:

ab = ab/5
2(x5) = 10
2(5x/5) = 10
2*x = 10
2x/5 = 10
2x = 50
=> x = 25