EngMathTools

Log-Log Intersection Calculator

Find the intersection of two lines defined by points on a log-log plot.

Line 1

Line 2

How the intersection is calculated

Each line becomes linear in log space. Using two points, the log-log slope is calculated and each line is written in the form log(y) = m·log(x) + b. The calculator solves those two equations simultaneously to find the intersection.

m = log(y₂ / y₁) / log(x₂ / x₁)
Line 1 Line 2 Intersection

Input requirements

All X and Y values must be greater than zero. Parallel lines in log space have no unique intersection, while coincident lines have infinitely many intersections.