document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697789>Question 697789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Log6(x+5)+log6(x+4)=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430279 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=430279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The trick here is to express <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a log<BR>\n" );
document.write( "to the base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+ ALIGN=MIDDLE  ALT=\"+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+log%286%2C36%29+ ALIGN=MIDDLE  ALT=\"+2+=+log%286%2C36%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+6%2C%28+x%2B5+%29+%29+%2B+log%28+6%2C%28+x+%2B+4+%29+%29+=+log%28+6%2C+36+%29+ ALIGN=MIDDLE  ALT=\"+log%28+6%2C%28+x%2B5+%29+%29+%2B+log%28+6%2C%28+x+%2B+4+%29+%29+=+log%28+6%2C+36+%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+6%2C+%28+x%2B5+%29%2A%28+x%2B4+%29+%29+=+log%28+6%2C+36+%29+ ALIGN=MIDDLE  ALT=\"+log%28+6%2C+%28+x%2B5+%29%2A%28+x%2B4+%29+%29+=+log%28+6%2C+36+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x%2B5+%29%2A%28+x%2B4+%29+=+36+ ALIGN=MIDDLE  ALT=\"+%28+x%2B5+%29%2A%28+x%2B4+%29+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+9x+%2B+20+=+36+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+9x+%2B+20+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+9x+-+16+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+9x+-+16+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<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+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   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+=+-16+ ALIGN=MIDDLE  ALT=\"+c+=+-16+\"   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+9%5E2+-+4%2A1%2A%28-16%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-9+%2B-+sqrt%28+9%5E2+-+4%2A1%2A%28-16%29+%29%29+%2F+%282%2A1%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+64+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-9+%2B-+sqrt%28+81+%2B+64+%29%29+%2F+2+\"   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+145+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-9+%2B-+sqrt%28+145+%29%29+%2F+2+\"   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+12.042+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-9+%2B+12.042+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+3.042+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+3.042+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1.521+ ALIGN=MIDDLE  ALT=\"+x+=+1.521+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I don't think you can use the negative square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+145+ ALIGN=MIDDLE  ALT=\"+145+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "at all because you end up with logs of negative numbers, <BR>\n" );
document.write( "and that is impossible.<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+6%2C%28+1.521%2B5+%29+%29+%2B+log%28+6%2C%28+1.521+%2B+4+%29+%29+=+2+ ALIGN=MIDDLE  ALT=\"+log%28+6%2C%28+1.521%2B5+%29+%29+%2B+log%28+6%2C%28+1.521+%2B+4+%29+%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+6%2C+6.521+%29+%2B+log%28+6%2C+5.521+%29+=+2+ ALIGN=MIDDLE  ALT=\"+log%28+6%2C+6.521+%29+%2B+log%28+6%2C+5.521+%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=+1.048+%2B+.96+=+2+ ALIGN=MIDDLE  ALT=\"+1.048+%2B+.96+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Pretty close<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );