When will the population of the city reach 444,000?

Question

The formula a equals 296e^0.045t models the population of a particular city in thousands t years after 2011. When will the population of the city reach 444,000?

Answer 1

444,000 = 296e^0.045t

e^0045t = 444,000/296

0.045t = ln(444,000/296)

t = ln(444,000/296)/0.045

t = 162.5