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Exponential growth calculator
Exponential growth
Some things grow or decay in an exponential way. This means that for every time unit (e.g. a day) the metric changes with ± the same percentage.
If you can say "
it doubles every _ days
" => this means it has
exponential growth/increase
! If you can say "
it drops to half every _ days
", it has
logarithmic decay/decrease
!
Data Point 1
Data Point 2
Time in between
sec
min
hour
day
week
month
year
decade
century
Calculate !
Growth calculation
Logarithmic decay
2 → 1 = multiply by 0.50 (or -50.00 %) in 5730 year(s)
multiply by 0.988 (or -1.2 %) in 1 century
goes ÷ 2 every 57.26 century(s)
goes ÷ 5 every 132.96 century(s)
goes ÷ 10 every 190.22 century(s)
goes ÷ 100 every 380.44 century(s)
Extrapolation of data points
start point
2.000
data point
after 14.32 century
1.682
interpolation
after 28.63 century
1.414
interpolation
after 42.95 century
1.189
interpolation
after 57.26 century
1.000
data point
after 71.58 century
0.841
extrapolation
after 85.89 century
0.707
extrapolation
after 100.21 century
0.595
extrapolation
after 114.52 century
0.500
extrapolation
after 128.84 century
0.420
extrapolation
after 143.16 century
0.354
extrapolation
after 157.47 century
0.297
extrapolation
after 171.79 century
0.250
extrapolation
Examples
Carbon-14 has a radioactive half-life of 5730 years
Social Media: Facebook grew from 1 mio MAU in 2004 to 2.32 bil in 2018
Moore's Law: number of transistors on a chip doubles every 2 years (1990-2010)
Growth of people infected by COVID-19 in the USA between 15 and 29 March 2020
Business: month on month double digit growth = x 3.14 per year