# Population Growth Equation

1. The population of a certain country grows according to the formula:

N = N0e^kt

Where N is the number of people (in millions) after t years, N0 is the initial number of people (in millions) and k = 1/20 ln 5/4.

Calculate the doubling time of this population. Leave your answer in terms
of ln : Do not use a calculator.

2. I don't understand where to start off.

3. I have basically come to the conclusion that N = 2N0
That is how far I have come. I know I haven't done anything as of yet. But any help would be appreciated

SteamKing
Staff Emeritus
Homework Helper
Well, you were given a value for k. Did you plug this value into the population equation and make any obvious simplifications?

symbolipoint
Homework Helper
To see that you get the same "doubling time" for any initial value, take $$N= 2N_0$$.