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Power-Law Interpolation

Interpolate positive measurements along a straight line on log-log axes.

Math workspace● Runs in your browser
01 Your input
02 Your result
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FormulaExponent = log(y2/y1)/log(x2/x1); Value = y1*(x/x1)**(log(y2/y1)/log(x2/x1))
Sources and model references

Made for real tasks

  • Interpolate positive measurements along a straight line on log-log axes.
Explore step-by-step workflows →

Worked example

Inputs

First x
1 number
First y
2 number
Second x
10 number
Second y
200 number
Requested x
5 number

Expected results

Exponent
2 number
Value
50 number

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter first x, first y, second x, second y, requested x.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "x1": 1,
  "y1": 2,
  "x2": 10,
  "y2": 200,
  "x": 5
}

Accuracy and scope

Assumes a power-law relationship between the two endpoints; all values must be positive.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.