Needing help on my math problem

Question

Let P(t) = 8000(1.08)^t be the population of a town t years after the year 2000. Estimate in which year the population will reach 11,755.

Answer 1

11,755=8000(1.08)^t

t=almost 5

year 2000: 8000

year 2001: 8000(1.08)=8640

year 2002: 8000(1.08)^2=9331.2

year 2003: 10078

year 2004: 10,884

year 2005: 11,754.62461= almost 11755