document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=771755>Question 771755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! Please help me expand this logarithm: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=logbase2%283x%5E2+%2F+12xy%29 ALIGN=MIDDLE  ALT=\"logbase2%283x%5E2+%2F+12xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I solved it and got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3logbase2%28x%29%2Blogbase2%28y%29-2 ALIGN=MIDDLE  ALT=\"3logbase2%28x%29%2Blogbase2%28y%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > But when I plugged the original log into my calculator to expand it, I got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=logbase2%28x%5E2%29%2Blogbase2%281%2Fxy%29-2 ALIGN=MIDDLE  ALT=\"logbase2%28x%5E2%29%2Blogbase2%281%2Fxy%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "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 #470423 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=470423\">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=log%28+2%2C%28+3x%5E2%29+%2F+%2812x%2Ay%29%29+ ALIGN=MIDDLE  ALT=\"log%28+2%2C%28+3x%5E2%29+%2F+%2812x%2Ay%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%5E2+%2F+%2812x%2Ay%29+=+x+%2F+4y+ ALIGN=MIDDLE  ALT=\"+3x%5E2+%2F+%2812x%2Ay%29+=+x+%2F+4y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C++%28x%2F%28+4y+%29%29+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C++%28x%2F%28+4y+%29%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2Cx+%29+-+log%28+2%2Cy+%29+-+log%28+2%2C4+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2Cx+%29+-+log%28+2%2Cy+%29+-+log%28+2%2C4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2Cx+%29+-+log%28+2%2Cy+%29+-+2+ ALIGN=MIDDLE  ALT=\"+log%28+2%2Cx+%29+-+log%28+2%2Cy+%29+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "A quick check is:<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4+ ALIGN=MIDDLE  ALT=\"+x+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+8+ ALIGN=MIDDLE  ALT=\"+y+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C%28+3x%5E2%29+%2F+%2812x%2Ay%29%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C%28+3x%5E2%29+%2F+%2812x%2Ay%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C%28%28+3%2A4%5E2%29+%2F+%2812%2A4%2A8%29%29%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C%28%28+3%2A4%5E2%29+%2F+%2812%2A4%2A8%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C%28+4%5E2+%2F+%284%2A4%2A8%29%29%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C%28+4%5E2+%2F+%284%2A4%2A8%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+%2816+%2F+%28+16%2A8%29%29+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+%2816+%2F+%28+16%2A8%29%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+%281%2F8%29+%29+=+-3+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+%281%2F8%29+%29+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2Cx+%29+-+log%28+2%2Cy+%29+-+2+ ALIGN=MIDDLE  ALT=\"+log%28+2%2Cx+%29+-+log%28+2%2Cy+%29+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C4+%29+-+log%28+2%2C8+%29+-+2+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C4+%29+-+log%28+2%2C8+%29+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+-+3+-+2+=+-3+ ALIGN=MIDDLE  ALT=\"+2+-+3+-+2+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK- The calculator might be right, too.<BR>\n" );
document.write( "You can use this method to check\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );