There is a container with 64 liters of pure alcohol. 32 liters were poured out of the container and replaced with pure water. How many times should you repeat this operation to get a solution with only 2 liters of alcohol?
64(0.5)n = 2
(0.5)n = 1/32
nlog0.5(0.5) = log0.5(1/32)
n = log0.5(1/32) = 5
or you can just write it out:
64 --> 32 --> 16 --> 8 --> 4 --> 2
5 arrows = do it 5 times to get 2L
