population growth

Question

The population P (in millions) of Georgia x years after 2000 can be modeled by P = 8e^0.023x. Solve this equation for x

Use your equation to find x when P = 10. Interpret your answer.

Answer 1

P = 8e^0.023x

lnP = ln8 + 0.023x

x = (lnP - ln8) / 0.023

x = ln(P/8) / 0.023

Now plug in P=10 and finish from here.