Exponential Growth by Doubling Time
Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!
Learning zone
The optimistic twin of half-life: a quantity that doubles every fixed interval T has grown by a factor of 2 raised to the number of doublings elapsed, t/T. Bacteria dividing every 20 minutes, an investment on a steady climb, or Moore's law transistor counts (doubling roughly every two years) all fit. Because only the ratio t/T enters the exponent, any time units work — as long as both use the same clock.
Exponential Growth by Doubling Time
Where
- = Final amount
- = Initial amount
- = Elapsed time
- = Doubling time
Missing one of these? Work it out first, then come back
- Final amount — Exponential Growth, Exponential Decay
- Initial amount — Exponential Growth, Exponential Decay
- Elapsed time — RC Capacitor Discharge, Half-Life Decay
- Doubling time — Speed, Distance & Time, Final Velocity (Uniform Acceleration)