(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let's say I had this recurrence relation:

[tex]log\left(f\left(x+2\right)\right) = log\left(f\left(x+1\right)\right) + log\left(f\left(x\right)\right)[/tex]

How do I prove, then, that...

[tex]f\left(x\right) = e^{c_1 L_x + c_2 F_x}[/tex]

?

2. Relevant equations

There probably are some, but I don't know any.

3. The attempt at a solution

I've gotten the equation to remove the logs, but I just get...

[tex]f\left(x+2\right) = f\left(x+1\right)f\left(x\right)[/tex]

I don't know where to go from there.

**Physics Forums - The Fusion of Science and Community**

# Recurrence Relation

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Recurrence Relation

Loading...

**Physics Forums - The Fusion of Science and Community**