In an experiment, the population P of bacteria is given by P=1000e^kt,where k is constant.If the size of population bacteria is found to be 3000 after 10 hours, what is the size of the population after 5 hours?Show me the solution please.

Answer 1

3000 = 1000 e^10 k

3 = e^10k

ln 3 = 10 k
solve for k

n = 1000 e^5k with same k
do e^5k on your calculator