A culture of 200 bacteria growing in a Petri dish doubles in size every 3 hours.  The number of bacteria, A, can be modeled by the exponential equation A=P(2)^t/3, where P is the initial amount and t is the time in hours.   How many hours will it take for the number of bacteria to reach 1,000,000?  Express your answer rounded to the nearest whole number.   Enter your answer in the box.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this...
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A culture of 200 bacteria growing in a Petri dish doubles in size every 3 hours.  The number of bacteria, A, can be modeled by the exponential equation A=P(2)^t/3, where P is the initial amount and t is the time in hours.

 

How many hours will it take for the number of bacteria to reach 1,000,000?  Express your answer rounded to the nearest whole number.

 
Enter your answer in the box. 
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