Question 277248
NEED HELP ASAP PLEASE!!
A bacteria culture starts with 2000 bacteria and the population doubles every 3 hours.
a) A function that models the number of bacteria after t hours is p(t)=____________?
b) The number of bacteria present after 5 hours will be about _____ ?
c) The population will reach 22000 after approximately ________ hours. 

a) p(t) = 2000*2^(t/3)
b) p(5) = 2000*2^(5/3) = 2000*(2^5)^(1/3)
c) 22000 = 2000*2^(t/3)

Calculate b) 2000*cube root of 32

Solve c for t: 2^(t/3) = 22000/2000
               2^(t/3) = 11
               log 2^(t/3) = log 11
               t/3*log 2 = log 11
               t/3 = log 11/log 2
               t = 3*(log 11/log 2)