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Let f be a function defined on the set of all positive integers such that f(xy) = f(x) + f(y) for all positive integers x, y. If f(12) = 24

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Let f be a function defined on the set of all positive integers such that f(xy) = f(x) + f(y) for all positive integers x, y. If f(12) = 24 and f(8) = 15. The value of f(48) is

(a) 31

(b) 32

(c) 33

(d) 34

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Answer is : (d) 34

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