Question

There are initially 1000 bacteria in a culture. The number of bacteria doubles each hour. The number of bacteria N present after t hours is . How long will it take the culture to increase to 50,000 bacteria?

Answer 1

solve for \(t\),
\[50,000=1000\times 2^t\]

Answer 2

the formula they gave me to use was n=1000(2)t

Answer 3

two steps only
divide by 1,000 get
\[50=2^t\] then change of base gives
\[t=\frac{\ln(50)}{\ln(2)}\]

Answer 4

5.6 got it thank you :)