If a bacteria population starts with 60 bacteria and doubles every three hours, then the number of bacteria after t hours is n = 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!
Remember what Moo said? Consider your OP:
That was fine. But then you tried to swap n for t:
That was not fine at all. You can't just switch variables like that. So put that out of your mind.
Going back:
Now, you need to get log or ln instead of . So:
Or:
Either one will do. Now, plug in 70,000 for n and see what happens.