math
posted by Jane on .
The value of a $20,000 car decreases every, t. The equation below model this situation.
20,000(10.04t) = 13,000
How many years will the car be worth $13,000? Round to the nearest tenth if necessary.
I got 20,000(.96t)= 13,000, but I don't believe gives me the correct answer. Help!

this does not make sense:
" decreases every, t "
did it say it decreased 4% per year?
that would mean
.96^n =13/20
.96^n = .65
n log .96 = log .65
n = .187/.0177
= 10.6 years 
I understand most of the explanation except the part below:
n log .96 = log .65
n = .187/.0177
Could you please explain? Thanks