document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617078>Question 617078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me   \r<BR>\n" );
document.write( "\n" );
document.write( "Solve for all values of x, to the nearest 10th.<BR>\n" );
document.write( "log4(2x&#8722;7)+log4(3x&#8722;3)=4	 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388131 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=388131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the general rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28a%29+%2B+log%28b%29+=+log%28a%2Ab%29+ ALIGN=MIDDLE  ALT=\"+log%28a%29+%2B+log%28b%29+=+log%28a%2Ab%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, express the right side as a log to base 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%284%2C2x-7%29+%2B+log%284%2C3x-3%29+=+4+ ALIGN=MIDDLE  ALT=\"+log%284%2C2x-7%29+%2B+log%284%2C3x-3%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%284%2C+%282x-7%29%2A%283x-3%29%29+=+log%284%2C256%29+ ALIGN=MIDDLE  ALT=\"+log%284%2C+%282x-7%29%2A%283x-3%29%29+=+log%284%2C256%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x-7%29%2A%283x-3%29+=+256+ ALIGN=MIDDLE  ALT=\"+%282x-7%29%2A%283x-3%29+=+256+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%282x-7%29%2A%28x-1%29+=+256+ ALIGN=MIDDLE  ALT=\"+3%2A%282x-7%29%2A%28x-1%29+=+256+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28+2x%5E2+-+7x+-+2x+%2B+7+%29+=+256+ ALIGN=MIDDLE  ALT=\"+3%2A%28+2x%5E2+-+7x+-+2x+%2B+7+%29+=+256+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+-+9x+%2B+7+=+256%2F3+ ALIGN=MIDDLE  ALT=\"+2x%5E2+-+9x+%2B+7+=+256%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+-+9x+-+235%2F3+ ALIGN=MIDDLE  ALT=\"+2x%5E2+-+9x+-+235%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+2+ ALIGN=MIDDLE  ALT=\"+a+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-9+ ALIGN=MIDDLE  ALT=\"+b+=+-9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-235%2F3+ ALIGN=MIDDLE  ALT=\"+c+=+-235%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-%28-9%29+%2B-+sqrt%28+%28-9%29%5E2+-+4%2A2%2A%28-235%2F3%29+%29%29+%2F+%282%2A2%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-%28-9%29+%2B-+sqrt%28+%28-9%29%5E2+-+4%2A2%2A%28-235%2F3%29+%29%29+%2F+%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+9+%2B-+sqrt%28+81+%2B+1880%2F3%29+%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+9+%2B-+sqrt%28+81+%2B+1880%2F3%29+%29%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+9+%2B-+sqrt%28+243%2F3+%2B+1880%2F3%29+%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+9+%2B-+sqrt%28+243%2F3+%2B+1880%2F3%29+%29%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+9+%2B-+sqrt%28+2123%2F3%29+%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+9+%2B-+sqrt%28+2123%2F3%29+%29%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+9+%2B-+sqrt%28+707.6667%29+%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+9+%2B-+sqrt%28+707.6667%29+%29%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+9+%2B+26.602+%29%2F4+ ALIGN=MIDDLE  ALT=\"+x+=+%28+9+%2B+26.602+%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+35.602%2F4+ ALIGN=MIDDLE  ALT=\"+x+=+35.602%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+8.9005+ ALIGN=MIDDLE  ALT=\"+x+=+8.9005+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To nearest tenth, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+8.9+ ALIGN=MIDDLE  ALT=\"+x+=+8.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%284%2C2x-7%29+%2B+log%284%2C3x-3%29+=+4+ ALIGN=MIDDLE  ALT=\"+log%284%2C2x-7%29+%2B+log%284%2C3x-3%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%284%2C2%2A8.9-7%29+%2B+log%284%2C3%2A8.9-3%29+=+4+ ALIGN=MIDDLE  ALT=\"+log%284%2C2%2A8.9-7%29+%2B+log%284%2C3%2A8.9-3%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%284%2C17.8-7%29+%2B+log%284%2C26.7-3%29+=+4+ ALIGN=MIDDLE  ALT=\"+log%284%2C17.8-7%29+%2B+log%284%2C26.7-3%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%284%2C10.8%29+%2B+log%284%2C23.7%29+=+4+ ALIGN=MIDDLE  ALT=\"+log%284%2C10.8%29+%2B+log%284%2C23.7%29+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%284%2C+10.8%2A23.7%29+=+log%284%2C256%29+ ALIGN=MIDDLE  ALT=\"+log%284%2C+10.8%2A23.7%29+=+log%284%2C256%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%284%2C+255.96%29+=+log%284%2C256%29+ ALIGN=MIDDLE  ALT=\"+log%284%2C+255.96%29+=+log%284%2C256%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks close enough<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > had to be positive because a log<BR>\n" );
document.write( "with a positive base (4), can't result in a negative number </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );