How do you Find the exponential growth factor?

Angel Malone

Angel Malone

Answered question

2022-05-21

How do you Find the exponential growth factor?

Answer & Explanation

Miriam Payne

Miriam Payne

Beginner2022-05-22Added 10 answers

P ( t ) = P 0 e k t ,
where P 0 is an initial value (=P(0))
To determine k, there should be another clue given like its doubling-life. Let us say the doubling-life is 3 years.
P ( 3 ) = P 0 e k ( 3 ) = 2 P 0
by dividing by P 0
e 3 k = 2
by taking the natural log,
ln e 3 k = ln 2
by simplifying a bit further,
3 k = ln 2
by dividing by 3,
k = ln 2 3

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