document.write( "Question 207198: 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 5 minutes, etc. How long until 100 million computers are effected? Thank you for your help!!! \n" ); document.write( "

Algebra.Com's Answer #156693 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
5 minutes to infect 20 others = 20^1
\n" ); document.write( "another 5 minutes to infect 20 * 20 = 20^2
\n" ); document.write( "another 5 minutes to infect 20 * 20 * 20 = 20^3
\n" ); document.write( "another 5 minutes to infect 20 * 20 * 20 * 20 = 20^4
\n" ); document.write( "etc.
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\n" ); document.write( "the exponent tells you the number of 5 minute intervals.
\n" ); document.write( "20^4 = 4 * 5 = 20 minutes.
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\n" ); document.write( "your equation will be:
\n" ); document.write( "20^x = 100,000,000
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\n" ); document.write( "log(20^x) = log(100,000,000)
\n" ); document.write( "x * log(20) = log(100,000,000)
\n" ); document.write( "x = log(100,000,000)/log(20) = 6.148974295
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\n" ); document.write( "number of minutes it takes is 6.148974295 * 5 = 30.74487147 minutes.
\n" ); document.write( "20^6.148974295 = 100,000,000
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\n" ); document.write( "i checked the method out and it appears to be accurate so i'm reasonably confident the answer i provided you is a good answer.
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