You can put this solution on YOUR website!
Start with the given equation.
(the given bacteria population)
Divide both sides by 100.
Take the log base 10 of both sides
Rewrite right side using the identity
Divide both sides by
Use the change of base formula to rewrite the left side
Note: Remember the change of base formula is
Rearrange the equation
Evaluate the log base 2 of 512 to get 9
, this means that
So the answer is
which means that it will take 9 minutes for the population to reach 51,200