document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183435>Question 1183435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve for time, the equation I am trying must not be correct.\r<BR>\n" );
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document.write( "A city's population is currently 22,000 and is growing by 3.4% each year. If this continues, in how many years will the town's population reach 48,000?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813769 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P=Pob^t general form<BR>\n" );
document.write( "48000=22000*1.034^t<BR>\n" );
document.write( "at t=0 P=22000<BR>\n" );
document.write( "at t=1, P=22000*1.034=22748, etc.<BR>\n" );
document.write( "so divide both sides by 22000<BR>\n" );
document.write( "2.182=1.034 t<BR>\n" );
document.write( "log both sides<BR>\n" );
document.write( "0.3388=t log 1.034<BR>\n" );
document.write( "divide both sides by log 1.034<BR>\n" );
document.write( "23.33 years.<BR>\n" );
document.write( "check with 23 years--22000(1.034^23)=47467<BR>\n" );
document.write( "and with 24 years--49081.25=49081<BR>\n" );
document.write( "It will be in the 24th year, not in 23 years, definitely by 24 years.<BR>\n" );
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