Balance point

[AngleWyrm]

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?

 

[hlsmith]

Define what you mean by balance point.

 

[AngleWyrm]

I'd like to find the point at which a tangent line with a slope of -1 intersects this curve just once.

 

[katxt]

You may find it informative to re-plot the curve with axes at the same scale.

 

[Dason]

This is a calculus problem.

 

[AngleWyrm]

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.

 

[Dason]

It's entirely a calculus problem and really isn't directly related to regression.

 

[AngleWyrm]

Where do you recommend this thread belongs, besides Not In My Back Yard?