Functional Equations & Mixed Problems (Q76–Q100)

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1.
If f(x+y) = f(x)+f(y) and f(3) = 12, then f(5) equals:
2.
If f(xy) = f(x)+f(y) for x,y > 0, and f(3) = 1, f(4) = 2, then f(36) equals:
3.
If f(x*y) = f(x)*f(y) for all x,y > 0 and f(2) = 8, then f(8) equals:
4.
If f(x+y) = f(x)*f(y), f(1) = 2, then sum(f(k), k=1 to 10) equals:
5.
If f(x+y) = f(x)*f(y) for all x, y and f(2) = 9, then f(3) equals:

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