what would that growth rate be?

Question

it took the world about 300 years to increase in population from 0.5 billion to 4.0 billion.if we assume exponential growth at a constant rate over the period of time,what would that growth rate be?do it using both approach.

Answer 1

gro from 0.5 tu 4...rasheo=8.0, over 300 yeers, assume rasheo=e^kt & t=300, 8=e^300t, ln(8)=ln(e^300k)=300k*ln(e)=300k, so k=ln(8)/300, ln(8)=2.079441542, k=ln(8)/300=0.006931471806