# of yeast cells double every 4 hours how many hours will it take to reach 6billion cells
a. 1.2(log2 0.25)
b. 0.25(log2 1.2)
c. 5(log2 1.5)
d. 4(log2 1.2)
Your question doesn't make sense as written !! What is the starting number of yeast cells? if it is 1, then your multiple choice answers don't make sense.
If the yeast cells start with 1 cell and double every 4 hours, then the hourly rate is 2^(1/4) = 1.189207115. Then, to get to 6 billion cells, you would do this: 1.189207115^n =6 x 10^9. Then you would solve for n like this:
n =log(6 x 10^9) / log(1.189207115) =~ 130 hours.