document.write( "Question 251391: If all who hear a rumor repeat it to two people a day, and if 10 people start the rumor, then number of people N who have heard the rumor after t days is given by N(t) = 10(3)t. After what amount of time will 2000 have heard the rumor? \n" ); document.write( "

Algebra.Com's Answer #183057 by jim_thompson5910(35256) $\"\"$ $\"About$

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Hint: Plug in $\"N%28t%29=2000\"$ to get $\"2000=10%2A3%5Et\"$ . From here, divide both sides by 10 to get $\"200=3%5Et\"$ . Next use logarithms to isolate 't' (you'll get an approximate answer).\r
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\n" ); document.write( "\n" ); document.write( "Note: your answer should be $\"t=log%283%2C%28200%29%29=4.8227\"$ (the last part is approximate). So this means that it will take about 5 days for 2000 to hear the rumor. \n" ); document.write( "

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