How many bacteria will there be after 6 hours?

Question

The number of bacteria in a culture is increasing according to the law of exponential growth. After 3 hours, there are 400 bacteria, and after 5 hours, there are 1600 bacteria. How many bacteria will there be after 6 hours?

Answer 1

should it not be

ln4 = 2k   ?

 

Thanks

 

Answer 2

1600 = 400e^2k

400 = e^2k

ln 400 = 2k

5.991 ≈ 2k

2.996 ≈ k

 

A = 400e^(2.996)(6)

 

Can you calculate?