document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=750242>Question 750242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem it is a logarithmic, I think. As a town gets smaller, the population of its high school decreases by 12% each year. the student body numbers 125 students now. in how many years will it number about 75 students? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #456469 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=456469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplest way to analyze it is that each year population is pop*(1.00-0.12).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Starting with 125 students,<BR>\n" );
document.write( "1 year 125*(1-0.12)<BR>\n" );
document.write( "2 year <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125%2A%281-0.12%29%5E2 ALIGN=MIDDLE  ALT=\"125%2A%281-0.12%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3 year <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125%2A%281-0.12%29%5E3 ALIGN=MIDDLE  ALT=\"125%2A%281-0.12%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n year <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28125%2A%281-0.12%29%5En=125%2A%280.88%29%5En%29 ALIGN=MIDDLE  ALT=\"highlight%28125%2A%281-0.12%29%5En=125%2A%280.88%29%5En%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You are looking for how <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75=125%280.88%29%5En ALIGN=MIDDLE  ALT=\"75=125%280.88%29%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.6=%280.88%29%5En%29 ALIGN=MIDDLE  ALT=\"highlight%280.6=%280.88%29%5En%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Can you take this the rest of the way to the solution for n? Take logarithms of both sides, and use the rule about logs,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28b%5Ea%29%29=a%2Alog%28%28b%29%29 ALIGN=MIDDLE  ALT=\"log%28%28b%5Ea%29%29=a%2Alog%28%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );