SOLUTION: Any help on this would be great... 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

Question 65200: Any help on this would be great...
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 stanbon(75887) (Show Source): You can put this solution on YOUR website!
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?
-----------------------
After 5 minutes: 20
After 10 minutes: 20^20
20<100,000,000<20^20
So it takes between 5 and 10 minutes to reach 100,000,000
----------------
20^x=100,000,000
xlog20 = 8
x=8/(log20)
x=6.48974...
So 20^6.48974... is enough to produce 100,000,000 infected computers.
Cheers,
Stan H.
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