Homework Help: Sequences/exponential function question help

So we are currently doing sequences ie discrete functions for my functions class, and i came across this problem

The value of a new sports utility vehicle depreciates at a rate of 8%
per year. If the vehicle was bought for $45 000, when is it worth less than 40%
of its original value?

now i tried to use it sequential wise, but it failed me.
I then tried to solve it using exponential functions way, that too was a failure -_-

 

well heres what i did using exponential functions

T(n)=45 000(0.92)^n
40% of 45 000 is 18 000
so
18 000=45 000(0.92)^n
18000/45000=0.92^n

this is the point where i am stuck at. I cannot use logarithmic to solve this due to the fact that the curriculumn shifted it till next year.

Using my current knowledg of sequences this is what i got

tn=45000(0.92)^n-1
which is very similiar too my exponential way ,but... looks wrong, and i don't know how to go from there:/

 

yes, I live in ontario, Canada ,and teacher wants us not to use logarithmic because of curriculumn changes. However, we are in the discrete functions unit, and therefore it kinda insininuates us to find the answer using recursive,arithmetic, and.or geometric sequences using their general form.Anyway, The answer seems to be around 11 ish; however, how do u find that without doing logarithmic?