Does the Numerical Solution for the Equation Converge?

[atomqwerty]

Homework Statement

Let be the equation

n - m - a*r - 5*log(r) = 0

Homework Equations

We proceed by rewritting

n - m - a*r = 5*log(r)

Now we have separate equations, which variables we identificate as

n - m - a*x = 5*log(y)

Since we need a numerial solution, we apply numerical methods, like
c
x=0 -> y₀
x=y₀ -> y₁
x=y₁ -> y₂
...

The question is to probe that the solution converges. I don't know how to satrt this!

Thanks in advance!

 

[lanedance]

so what are you trying to do

find the zeros wrt r of:
n - m - a*r - 5*log(r) = 0...?

 

[atomqwerty]

so what are you trying to do

find the zeros wrt r of:
n - m - a*r - 5*log(r) = 0...?

I'm trying to figure out a numerical solution for this particular equation, and I've been asked to demonstrate that the procudure I wrote down above converges, i.e, that gives a non-infinite solution.