How this calculation works
Find an intermediate value at a specified fraction of the logarithmic interval.
THE FORMULA
x = exp((1−t)ln(a)+t ln(b))A worked example
Halfway from 10 to 1,000 on a log scale is 100.
Good to know
Endpoints must be positive and use the same units.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Find an intermediate value at a specified fraction of the logarithmic interval.
The primary result is labeled “Interpolated value”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Endpoints must be positive and use the same units.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
Halfway from 10 to 1,000 on a log scale is 100.
Which rule does this calculator apply?
x = exp((1−t)ln(a)+t ln(b))