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Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that...

Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100 bacteria.

(a) What is the population after 15 hours?
(b) What is the population after t hours?
(c) Find the population after 20 hours.
(d) Find the time at which the population reaches 50,000.

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