document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91945>Question 91945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population P of a city grows exponentially according to the function p(t) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16200%281.06%29%5Et ALIGN=MIDDLE  ALT=\"16200%281.06%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where t is measured in years. When, to the nearest year, will the population reach 24,000? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66786 by </B><A HREF=/tutors/aboutme.mpl?userid=mathispowerful><B>mathispowerful(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathispowerful><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=66786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16200%281.06%29%5Et ALIGN=MIDDLE  ALT=\"16200%281.06%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this is a solving equation problem.\r<BR>\n" );
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document.write( "set up the equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16200%281.06%29%5Et+=+24000 ALIGN=MIDDLE  ALT=\"16200%281.06%29%5Et+=+24000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "divide 16200 on both sides: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.06%5Et+=+1.48148148 ALIGN=MIDDLE  ALT=\"1.06%5Et+=+1.48148148\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "take logarithm on both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Alog%281.06%29=log%281.48148148%29 ALIGN=MIDDLE  ALT=\"t%2Alog%281.06%29=log%281.48148148%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+log%281.48148148%29%2Flog%281.06%29 ALIGN=MIDDLE  ALT=\"t+=+log%281.48148148%29%2Flog%281.06%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+0.1707%2F0.0253 ALIGN=MIDDLE  ALT=\"t+=+0.1707%2F0.0253\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=6.745\r<BR>\n" );
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document.write( "so it is about 7 years.<BR>\n" );
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