PLEASE HELP
The generation time G for a particular bacteria is the time it takes for the population to double. The bacteria increase in population is shown by the formula (PICTURE BELOW) , where t is the time period of the population increase, a is the number of bacteria at the beginning of the time period, and P is the number of bacteria at the end of the time period. If the generation time for the bacteria is 6 hours, how long will it take 8 of these bacteria to multiply into a colony of 7681 bacteria? Round to the nearest hour.

Question

PLEASE HELP
The generation time G for a particular bacteria is the time it takes for the population to double. The bacteria increase in population is shown by the formula (PICTURE BELOW) , where t is the time period of the population increase, a is the number of bacteria at the beginning of the time period, and P is the number of bacteria at the end of the time period. If the generation time for the bacteria is 6 hours, how long will it take 8 of these bacteria to multiply into a colony of 7681 bacteria? Round to the nearest hour.

anonymous · Answer

attachment

anonymous · Answer

A. 177 hours 	
  B. 76 hours 	
  C. 4 hours 	
  D. 85 hours

anonymous · Answer

$$g=\frac{ 6 }{ 3.3\log _{8}7681}$$

anonymous · Answer

Just kidding, I switch 6 with g... get 85 hours. I did it myself haha (: