SOLUTION: I need help with this question A pop growing at an annual rate "r" will triple in a time "t", and is given by the following formula. If the growth rate remains constant and equ

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I need help with this question A pop growing at an annual rate "r" will triple in a time "t", and is given by the following formula. If the growth rate remains constant and equ      Log On


   

Question 129915: I need help with this question
A pop growing at an annual rate "r" will triple in a time "t", and is given by the following formula. If the growth rate remains constant and equals 14% per year, how long will it take the population of the time to triple?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
3P=P(1+r)^t __ 3P=P(1.14)^t

dividing by P __ 3=(1.14)^t

taking log __ log(3)=t(log(1.14))

dividing by log(1.14) __ (log(3))/(log(1.14))=t