Balance point


Active Member
This looks like maybe a calculus problem, but I know very little of calculus and regression analysis.

I have a function of x, f(x) = log(x) / log(0.9) which produces a graph like so:


And I get the feeling like there's some point on that curve that represents a sort of balance point. Maybe I mean a 45 degree slope, but I'm not sure that's an accurate description of where the two directions seem to apply a similar impact.

Is it, or is there a better way to think about it?
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Active Member
I agree, I too believe this is a calculus problem. I didn't see a forum for calculus though, and don't know anything about regression analysis. If there's a better place, maybe someone with admin privileges can move the thread.