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

Answer 1

why are u reposting this?

Answer 2

Replace B(t) with 200 and solve for t

Answer 3

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