Calculate Exponential growth

Exponential: Carbon-14 half-life

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

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2.2.22

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