Logarithm word problem

[alyren]

the population of a particulare country was 25 million in 1983; in 1997, it was 29 million. the exponential growth function A=25e^kt describes the population of this country t year after 1983. use the fact that 14 years after 1983 the population increased by 4 million to find k to three decimal places.

I absolutly have no clue how to start this problem.

 

[galactus]

Set the equation equal to 29 and solve for k by letting t=14.

\(\displaystyle 29=25e^{k(14)}\)

Solve for k using ln