BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

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

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

(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 » Tue Aug 11, 2020 1:42 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

(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
Top
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

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.
Top
Post new topic Post Reply
• Page 1 of 1