Homework question help!!!!

Question

The fish population in Looney Ton Lake is modeled by the equation P(t) = 2500(0.92)^t, where p(t) represents the number of fish and t represents the time, in years, since January 2010. In which year will the fish population decrease to 2000?

Answer 1

Set P(t) = 2000 and solve for t, then add the result to 2010.

2500 (0.92)^t = 2000

(0.92)^t = 0.8

t log0.92 = log0.8

t = log0.8 / log0.92 = ? years

You can finish from here. Use any base for the logs as long as you use the same base for both logs.