[填空题]
A population of 50 hamsters was introduced tovi vit z.6bvj p/:mm(/ a new-zcy x,ersg5.hc4k*o town. One month later, the number of hamsters was 6262. The number of hamsters, P, can be modelled,zc5y.*ohgs ekxrc -4 by the function
P(t)=50$\times\,b^t$,t≥0,
where t is the time, in months, since the hamsters were introduced to the town.
1.Find the value of b. b =
2.Calculate the number of hamsters in the town after 66 months.
A wildlife specialist estimates that the town has enough drink and food to support a maximum population of 20002000 hamsters. P =
3.Calculate the number of months it takes for the hamster population to reach this maximum. t = months