I need help with this problem, please!

Question

A small city has a population of 34000 in 1994. The population growth after 1994 is modeled by the following function where  is the number of years after 1994.

P(t)=34000e^0.07t

During what year will the population reach 68000?

Answer 1

68000 = 34000e^0.07t

68000/34000 = e^0.07t

2=e^0.07t

ln(2)= ln(e^0.07t)

ln(2) = 0.07t

ln(2)/0..07 = t

t ≈ 9.9

so during the end of the 9th year