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Start with the general exponential function
(since the number of cells double every 4 minutes)
Divide both sides by
Take the natural log of both sides.
Take the natural log of 2 to get 0.69315.
Divide both sides by 4
So the growth/decay constant is
Go back to the general exponential function
(since we start from one cell),
(note 180 minutes = 3 hours)
Multiply 0.17329 and 180 to get 31.1922
Raise "e" to the 31.1922 power to get
So after 3 hours, there are approximately
cells which is about 35.2 trillion cells