A social media website currently has 1000 members. The number of people that join the website triples every month. After how many months will the website have more than 1 million members? Talk the beginning as month 0
Members = 1,0003^t where t = months
So after
0 months 1,000 members
1 month 3,000 members
2 months 9,000 members
If we are to solve that for a million:
Members/1,000 = 3^t
1,000,000/1,000 = 3^t
1,000 = 3^t
Taking logs of both sides
log 1,000 = timelog(3)
3 = time *
0.4771212547
time = 3/
0.4771212547
time =
6.2877098229
months
Okay about 6.29 months