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(Function) A function satisfies f(xy) = f(x) + f(y) for any positive numbers x and y. We have f(2) = 1.

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by Max@Math Revolution » Tue Aug 11, 2020 1:42 am

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A

B

C

D

E

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(Function) A function satisfies f(xy) = f(x) + f(y) for any positive numbers x and y. We have f(2) = 1. What is the value of f(8)?

A. 1
B. 2
C. 3
D. 4
E. 5
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Re: (Function) A function satisfies f(xy) = f(x) + f(y) for any positive numbers x and y. We have f(2) = 1.

by Max@Math Revolution » Wed Aug 12, 2020 11:52 pm
Solution:
f(4) = f(2·2) = f(2) + f(2) = 1 + 1 = 2.
f(8) = f(2·4) = f(2) + f(4) = 1 + 2 = 3.

Therefore, C is the correct answer.

Answer: C.
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