A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
f(ab)=f(a) + f(b) for all real numbers in the domain of f, f(x) equals which of these? (A)1/x (B) e^x (C) log(x)
anonymous
 5 years ago
f(ab)=f(a) + f(b) for all real numbers in the domain of f, f(x) equals which of these? (A)1/x (B) e^x (C) log(x)

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[f(x) = \frac{1}{x}\implies \] \[f(ab) = \frac{1}{ab}\] \[f(a) + f(b) = \frac{1}{a} + \frac{1}{b} = \frac{a+b}{ab}\] \[\implies f(ab) \ne f(a)+f(b)\] Nope, not that one.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Which one are you going to try next?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0would this process be right? ::: f(x)= e^x f(ab)= e^ab f(a)+f(b)= e^a +e^b which does not equal e^ab ?? yes?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohh~~ so it's the third choice! i see it now...i did log 5 + log 2 and then it came as one which is the same as log 5*2. i get it now. THANKS!!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes, but cause the sum of logs is the log of the product.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[log(a) + log(b) = log(a*b)\]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.