SOLUTION: If all who hear a rumor repeat it to 2 people a day, and if 10 people start the rumor, then number of people N who have heard the rumor after t days is given by N(t) = 10(3)^t. Aft

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If all who hear a rumor repeat it to 2 people a day, and if 10 people start the rumor, then number of people N who have heard the rumor after t days is given by N(t) = 10(3)^t. Aft      Log On


   



Question 292698: If all who hear a rumor repeat it to 2 people a day, and if 10 people start the rumor, then number of people N who have heard the rumor after t days is given by N(t) = 10(3)^t. After what amount of time will 2000 have heard the rumor?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
N(t) = 10(3)^t
.
Set N(t) to 2000 and solve for t:
2000+=+10%283%29%5Et
200+=+%283%29%5Et
log%283%2C200%29+=+log%283%2C3%5Et%29
log%283%2C200%29+=+t
log%28200%29%2Flog%283%29+=+t
+4.823+=+t