- #1

Char. Limit

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## Homework Statement

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]

?

## Homework Equations

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

## 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.