The value V of a certain automobile that is t years old can be modeled by

$\displaystyle V(t)=14,044(0.8)^t$.

According to the model, when will the car be worth:

(a) $8000?

(b) $7000?

(c) $1000?

Answers:

(a) 2.5 years

(b) 3.1 years

(c) 11.8 years

It says I need to rewrite the problem in logarithmic form, how would I do this?

$\displaystyle log 8000 = log 14044(.8)^t$?