If a bacteria population starts with 60 bacteria and doubles every three hours, then the number of bacteria afterthours isn=f(t) = 60·2t/3.

(a) Find the inverse of this function.

f-1(n) = ___________

(b) When will the population reach 70,000? (Round the answer to the nearest tenth.)

Part A Attempt:

Now I need to convert to base 10, since my online homework program online has inputs for natural log and log base 10. So....

Apparently I went wrong somewhere....

Thank you!