can someone help please?
better to just ask a question
can someone help me im stumped on this problem i need help please. 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?
the computer's screwed
does it have something to do with powers turing? i suck at these types of questions
logs and exponential functions
it's not my thing either...
\[20^{\frac{t}{5}}=100,000,000\]
I almost came up with that!
oh crap that is wrong. that will not do it
plus one in there right?
because i was not counting the ones already infected
\[20^{1+\frac t5}=10000000\]
no?
gotta sum this sucker up, let me see if i remember.
10^8=20^5t
should be \[\frac{t}{5}\] or maybe what turing said, but we are neglecting the ones infected along the way
\[20+20^2+20^3+...\]
so lets try \[\sum_{k=1}^n20^k=10^8\] \[\frac{20^{n+1}-1}{19}=10^8\] \[20^{n+1}=19\times 10^8\] \[(n+1)=\frac{\ln(19\times 10^8)}{\ln(20)}\]
can you please explain what you have?
i was summing the geomtric series \[20 + 20^2+20^3+...\] and seeing when it would equal 10^8
i get approximately 7, so that means around 35 minutes
so it would 20^7 how can i log it
I got it 20^5t=10^8
20^0t=120/4
t=30
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