Answer:

If we dicide both sides by 1000 we got:

Now we can apply natural log on both sides and we got:

And solving for t we got:

So then we can conclude that every 0.333 seconds the amount of bacteria is doubled under the model assumed.
The number of bacteria is doubled every 0.333 seconds
Step-by-step explanation:
For this case we have the following model given for the number of bacteria after t seconds:

We want to find the time that is required to double the number of bacteria. If we analyze the function we see that the initial amount for t=0 is 1000. And if we want to double this amount we need to have 2000. And using this we have:

If we dicide both sides by 1000 we got:

Now we can apply natural log on both sides and we got:

And solving for t we got:

So then we can conclude that every 0.333 seconds the amount of bacteria is doubled under the model assumed.
The number of bacteria is doubled every 0.333 seconds