SOLUTION: ) A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within a

If you need immediate math help from PAID TUTORS right now, click here. (paid link)
Click here to see ALL problems on Exponential-and-logarithmic-functions

Question 37330: ) A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected?
Answer by fractalier(2101) (Show Source):
You can put this solution on YOUR website!
The computer viral growth is an exponential function. Call it N(t), where N is the number of infected computers and t is the time in minutes. Thus,
N(t) = 20 ^ (t/5)
Now set this equal to 100,000,000 and solve for t, using logs...
20 ^ (t/5) = 100000000
log [20 ^ (t/5)] = log (100000000)
(t/5)log (20) = 8
t = 40 / log 20 or about 30.74 minutes