SOLUTION: Suppose the population F of deer in an area t months after the deer were first introduced there is f=300 log(5t+2) How long will it take to reach 600

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Suppose the population F of deer in an area t months after the deer were first introduced there is f=300 log(5t+2) How long will it take to reach 600      Log On


   

Question 816980: Suppose the population F of deer in an area t months after the deer were first introduced there is f=300 log(5t+2) How long will it take to reach 600
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
600 = 300*log(5t+2)
600/300 = 300*log(5t+2) / 300
2 = log(5t+2)
log%28%285t%2B2%29%29%2Flog%2810%29+=+2
multiply each side by log(10)
log%28%285t%2B2%29%29+=+2%2Alog%2810%29
log%28%285t%2B2%29%29+=+log%28%2810%5E2%29%29
log%28%285t%2B2%29%29+=+log%28%28100%29%29
Take exponential on each side
5t%2B2+=+100
5t+=+98
t+=+98%2F5 so t+=+19%2B3%2F5