# SOLUTION: 2. A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?

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 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 155383: 2. A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours? Answer by jim_thompson5910(28715)   (Show Source): You can put this solution on YOUR website! Start with the general exponential function Plug in and (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 Plug in (since we start from one cell), , and (note 180 minutes = 3 hours) Multiply 0.17329 and 180 to get 31.1922 Raise "e" to the 31.1922 power to get Multiply So after 3 hours, there are approximately cells which is about 35.2 trillion cells