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At 4:00 p.m. a closed flask of sterile broth is inoculated with 10,000 cells. the lag phase lasts 1 hour. at 9:00 p.m. the log phase culture has population of 65 million cells. the approximate number of generations that has occurred is

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gradman555p98x9p
The number of generation is 13.
Cell culture always grows by duplicating their number as each cell cycle (each generation) (by mitosis or binary scission).
To figure out how many generations are, count how many time you have to duplicate the initial number (10.000) to reach 65 million or more.
10.000*2 = 20.000   (1)
20.000*2 = 40.000   (2)
40.000*2 = 80.000    (3)
80.000*2 = 160.000     (4)
...
40.960.000 *2 = 81.920.000     (13)

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