How this calculation works
Find when a standard logistic growth model reaches a specified level.
THE FORMULA
t=[ln((K−N₀)/N₀)−ln((K−N)/N)]/rA worked example
From 10 to 50 with capacity 100 requires ln(9)/r.
Good to know
The target must be at least the initial level and below capacity.
Reference: OpenStax Calculus Volume 3 (opens in a new tab) ↗
Read the result
Find when a standard logistic growth model reaches a specified level.
The primary result is labeled “Time to target”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The target must be at least the initial level and below capacity.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
From 10 to 50 with capacity 100 requires ln(9)/r.
Which rule does this calculator apply?
t=[ln((K−N₀)/N₀)−ln((K−N)/N)]/r