Assume that the world population at time t is given by P = Psub0 e^.054t.
How long will it take for the world population to double?

Question

Assume that the world population at time t is given by P = Psub0 e^.054t.
How long will it take for the world population to double?

anonymous · Answer

$$P = P _{0}e ^{.054t}$$

anonymous · Answer

I don't know why it lost the format when I edited.

If the future population is double... that means it is twice Psub0.
Solve for t:
$$2P _{0}=P _{0}e ^{.054t}$$ 
Any questions?

anonymous · Answer

So then I would just take ln of both sides, correct?

anonymous · Answer

After dividing both sides by Psub0.  It conveniently gets rid of it, leaving only t to solve for.

anonymous · Answer

Alright, thank you very much!

anonymous · Answer

You're welcome.