document.write( "Question 292698: If all who hear a rumor repeat it to 2 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 #211435 by nerdybill(7384) $\"\"$ $\"About$

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N(t) = 10(3)^t
\n" ); document.write( ".
\n" ); document.write( "Set N(t) to 2000 and solve for t:
\n" ); document.write( " $\"2000+=+10%283%29%5Et\"$
\n" ); document.write( " $\"200+=+%283%29%5Et\"$
\n" ); document.write( " $\"log%283%2C200%29+=+log%283%2C3%5Et%29\"$
\n" ); document.write( " $\"log%283%2C200%29+=+t\"$
\n" ); document.write( " $\"log%28200%29%2Flog%283%29+=+t\"$
\n" ); document.write( " $\"+4.823+=+t\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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