A colony of bacteria is growing exponentially according to the function below, where t is in hours. How many hours will it take for the population to grow to 200. Round to nearest nteger
B(t)=4*e^0.8t

Question

A colony of bacteria is growing exponentially according to the function below, where t is in hours. How many hours will it take for the population to grow to 200. Round to nearest nteger
B(t)=4*e^0.8t

anonymous · Answer

why are u reposting this?

mertsj · Answer

Replace B(t) with 200 and solve for t

mertsj · Answer

$$200=4e ^{.8t}$$
$$50=e ^{.8t}$$
$$\ln 50=\ln e ^{.8t}$$
$$\ln 50=.8t \ln e$$
$$3.912=.8t$$
4.89=t