Question

A population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the population to grow to 12,000 bacteria? Round your answer to the nearest integer. Do not include units in your answer.

B(t) = 50 * e^2t

Answer 1

solve
\[12000=50e^{2t}\] for t
1) divide by 50 get
\[240=e^{2t}\]
2)rewrite in equivalent logarithmic form as
\[\ln(240)=2t\]
3)divide by 2 get
\[\frac{\ln(240)}{2}\] then a calculator