- #1

AngleWyrm

- 15

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- TL;DR Summary
- Trying to find coordinates of an intersection between a tangent line and a curve

I have a formula y=log(x)/log(0.9) which has this graph:

I want to find the intersection of this curve and a tangent line illustrated in this rough approximation:

The axes have very different scales, so the line isn't actually a slope of -1, it's just looks that way.

How can I figure out:

1). the actual slope of the line

2). the coordinates of the intersection

I want to find the intersection of this curve and a tangent line illustrated in this rough approximation:

The axes have very different scales, so the line isn't actually a slope of -1, it's just looks that way.

How can I figure out:

1). the actual slope of the line

2). the coordinates of the intersection