A town has a population of 3000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the population will reach 4700

Answer 1

The exponential growth law for this problem is

p(t) = 3000 (1.04)^t

where t is the years elapsed. Set p(t) equal to 4700 and solve for t.

4700 = 3000 (1.04)^t

4700/3000 = 1.04^t

log(4700/3000) = t log1.04

Can you solve for t and finish from here?