Each hour the number of bacteria will double.
Let represent the number of bacteria at hour . If there are bacteria to begin with...
Then
.
So what do you think is?
Unfortunately, this does not even satify the "initial condition". If you started with 1 bacteria, then you should have B(0)= 1 but 2^0+ 1= 1+ 1= 2, not 0. Perhaps you were making the mistake of thinking that 2^0= 0 and added the "1". Drop the "1" and youare exactly correct.