document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260352>Question 260352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HElp! could you please do this (I couldn't) <BR>\n" );
document.write( "Simplify:  9log(base 27)x - 4log(base 9)x  <BR>\n" );
document.write( "The answer is log(base3)x but I don't know how to get that! Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191779 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=191779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is the original problem<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9log%2827%2Cx%29+-+4log%289%2Cx%29+ ALIGN=MIDDLE  ALT=\"9log%2827%2Cx%29+-+4log%289%2Cx%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here are the step I took:<BR>\n" );
document.write( "step 1 - write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9log%2827%2Cx%29+=+Y ALIGN=MIDDLE  ALT=\"9log%2827%2Cx%29+=+Y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for Y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%5EY+=+x%5E9 ALIGN=MIDDLE  ALT=\"27%5EY+=+x%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E3y%29+=+x%5E9 ALIGN=MIDDLE  ALT=\"%283%5E3y%29+=+x%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "taking a log base 3 of both sides, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+log%283%2Cx%5E9%29 ALIGN=MIDDLE  ALT=\"3y+=+log%283%2Cx%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%289%2F3%29log%283%2Cx%29+=+3log%283%2Cx%29 ALIGN=MIDDLE  ALT=\"y+=+%289%2F3%29log%283%2Cx%29+=+3log%283%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "step 2 - write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4log%289%2Cx%29+=+Z ALIGN=MIDDLE  ALT=\"4log%289%2Cx%29+=+Z\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for Z<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5EZ+=+x%5E4 ALIGN=MIDDLE  ALT=\"9%5EZ+=+x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E2Z%29+=+x%5E4 ALIGN=MIDDLE  ALT=\"%283%5E2Z%29+=+x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "taking a log base 3 of both sides, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2Z+=+log%283%2Cx%5E4%29 ALIGN=MIDDLE  ALT=\"2Z+=+log%283%2Cx%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%284%2F2%29log%283%2Cx%29+=+2log%283%2Cx%29 ALIGN=MIDDLE  ALT=\"y+=+%284%2F2%29log%283%2Cx%29+=+2log%283%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "step 3 - rewriting steps 1 and 2, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3log%283%2Cx%29+-+2log%283%2Cx%29 ALIGN=MIDDLE  ALT=\"3log%283%2Cx%29+-+2log%283%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is simply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2Cx%29 ALIGN=MIDDLE  ALT=\"log%283%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );