Question 883415
(1 - % decrease)^x = 900
where x is the number of years

2700*(0.80)^x = 900
divide each side by 2700
(0.80)^x = 900/2700
(0.80)^x = 1/3

Take log of each side
log((0.80)^x) = log(1/3)
x*log(0.80) = log(1/3)
divide each side by log(0.80)
x = log(1/3)/log(0.80) = 4.923..
Let's check 2700*(0.80)^4.923 = 900.69.. so we are close
In just under 4.93 years we will have a value under $900