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?

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?

anonymous · Answer

solve for $t$, 
$$50,000=1000\times 2^t$$

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

5.6 got it thank you :)