The value of Vishal's car is depreciating exponentially. The relationship between
V
VV, the value of his car, in dollars, and
t
tt, the elapsed time, in years, since he purchased the car is modeled by the following equation.
V=22,500⋅10−t12
How many years after purchase will Vishal's car be worth
$
10
,
000
$10,000dollar sign, 10, comma, 000?
Give an exact answer expressed as a base-
10
1010 logarithm.