SOLUTION: A certain strain on bacteria divides every three hours. If a colony is started with 30 bacteria, then the time(t, in hours) required for the colony to groww to N bacteria is given

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Question 203739: A certain strain on bacteria divides every three hours. If a colony is started with 30 bacteria, then the time(t, in hours) required for the colony to groww to N bacteria is given by the following formula. Find the time required for the colony to grow to a million bacteria.(Give your answer to the nearest tenth)
t= 3(log(n/30))/log 2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A certain strain on bacteria divides every three hours.
If a colony is started with 30 bacteria, then the time(t, in hours) required
for the colony to groww to N bacteria is given by the following formula.
Find the time required for the colony to grow to a million bacteria.
(Give your answer to the nearest tenth)
;
t= 3%28log%28n%2F30%29%29%2F%28log+2%29
:
t= 3%28log%281000000%2F30%29%29%2F%28log+2%29
:
t= 3%28log%2833333.33%29%29%2F%28log+2%29
:
t= %2813.5686%29%2F%28.30103%29
t = 45.1 hrs