A town has a population of 16000 and grows at 2% every year. To the nearest tenth of year, how long will it be until the population will reach 20100

Answer 1

20100 = 16000 * (1.02)^ t

20100/16000 = 1.02^t

1.25625 = 1.02^t

log 1.25625 = t * log 1.02

t = log 1.25625 / log 1.02

= 11.5