document.write( "Question 1129925: Could someone please explain and demonstrate the method that should be used to solve the equation. Thanks.
\n" ); document.write( "The population P of a fish farm in t years is modeled by the equation
\n" ); document.write( "P(t) = 1700/ 1 + (9^ e−0.7t)
\n" ); document.write( "To the nearest tenth, how long will it take for the population to reach 900?
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Algebra.Com's Answer #746558 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"P%28t%29+=+1700%2F+%281+%2B+%289%5E+%28e-7t%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "To the nearest tenth, how long will it take for the population to reach \"900\"?\r
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\n" ); document.write( "\n" ); document.write( "\"900=+1700%2F+%281+%2B+%289%5E+%28e-0.7t%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"900%281+%2B+9%5E+%28e-0.7t%29%29=+1700+\"\r
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\n" ); document.write( "\n" ); document.write( "\"1+%2B+9%5E+%28e-0.7t%29=+1700%2F900+\"\r
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\n" ); document.write( "\n" ); document.write( "\"9%5E+%28e-0.7t%29=+17%2F9-1+\"\r
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\n" ); document.write( "\n" ); document.write( "\"9%5E+%28e-0.7t%29=+17%2F9-9%2F9+\"\r
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\n" ); document.write( "\n" ); document.write( "\"%283%5E2%29%5E+%28e-0.7t%29=+8%2F9+\"\r
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\n" ); document.write( "\n" ); document.write( "\"3%5E+%282%28e-0.7t%29%29=+8%2F9+\".....take log of both sides\r
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\n" ); document.write( "\n" ); document.write( "\"log%283%5E%282%28e-0.7t%29%29%29=+log%288%2F9%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"%282%28e-0.7t%29%29log%283%29=+log%282%5E3%29-log%283%5E2%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282%28e-0.7t%29%29log%283%29=+3log%282%29-2log%283%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"e-0.7t=+%283log%282%29%29%2F%282log%283%29%29-2log%283%29%2F2log%283%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"e-0.7t=+%283log%282%29%29%2F%282log%283%29%29-1+\"\r
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\n" ); document.write( "\n" ); document.write( "\"2.71828+-+0.7t=+0.9463946303571-1+\"\r
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\n" ); document.write( "\n" ); document.write( "\"2.71828+-+0.7t=-0.0536053696428+\"\r
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\n" ); document.write( "\n" ); document.write( "\"2.71828+%2B0.0536053696428=+0.7+t\"\r
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\n" ); document.write( "\n" ); document.write( "\"t=2.7718853696428%2F0.7\"\r
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\n" ); document.write( "\n" ); document.write( "\"t=3.9\"\r
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