document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757101>Question 757101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log(base4)(x-3)+log(base4)(x+9)=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460628 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=460628\">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+4%2C+x-3+%29+%2B+log%28+4%2C+x%2B9+%29+=+3+ ALIGN=MIDDLE  ALT=\"+log%28+4%2C+x-3+%29+%2B+log%28+4%2C+x%2B9+%29+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Make the substitution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+=+log%28+4%2C+64+%29+ ALIGN=MIDDLE  ALT=\"+3+=+log%28+4%2C+64+%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+4%2C+x-3+%29+%2B+log%28+4%2C+x%2B9+%29+=+log%28+4%2C+64+%29+ ALIGN=MIDDLE  ALT=\"+log%28+4%2C+x-3+%29+%2B+log%28+4%2C+x%2B9+%29+=+log%28+4%2C+64+%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+4%2C++%28+x-3+%29%2A%28+x%2B9+%29+%29+=+log%28+4%2C+64+%29+ ALIGN=MIDDLE  ALT=\"+log%28+4%2C++%28+x-3+%29%2A%28+x%2B9+%29+%29+=+log%28+4%2C+64+%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-3+%29%2A%28+x%2B9+%29+=+64+ ALIGN=MIDDLE  ALT=\"+%28+x-3+%29%2A%28+x%2B9+%29+=+64+\"   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+-+3x+%2B+9x+-+27+=+64+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+3x+%2B+9x+-+27+=+64+\"   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+6x+-+91+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+6x+-+91+=+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+=+6+ ALIGN=MIDDLE  ALT=\"+b+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-91+ ALIGN=MIDDLE  ALT=\"+c+=+-91+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-6+%2B-+sqrt%28+6%5E2+-+4%2A1%2A%28-91%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-6+%2B-+sqrt%28+6%5E2+-+4%2A1%2A%28-91%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+=+%28-6+%2B-+sqrt%28+36+%2B+364+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28-6+%2B-+sqrt%28+36+%2B+364+%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+=+%28-6+%2B-+sqrt%28+400+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28-6+%2B-+sqrt%28+400+%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+-6+%2B+20+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-6+%2B+20+%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+=+7+ ALIGN=MIDDLE  ALT=\"+x+=+7+\"   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=+x+=+%28+-6+-+20+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-6+-+20+%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+=+-13+ ALIGN=MIDDLE  ALT=\"+x+=+-13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This negative answer must be rejected because a<BR>\n" );
document.write( "log to the base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > cannot give you a negative result<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+7+ ALIGN=MIDDLE  ALT=\"+x+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the answer<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+4%2C+x-3+%29+%2B+log%28+4%2C+x%2B9+%29+=+3+ ALIGN=MIDDLE  ALT=\"+log%28+4%2C+x-3+%29+%2B+log%28+4%2C+x%2B9+%29+=+3+\"   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+4%2C+7-3+%29+%2B+log%28+4%2C+7%2B9+%29+=+3+ ALIGN=MIDDLE  ALT=\"+log%28+4%2C+7-3+%29+%2B+log%28+4%2C+7%2B9+%29+=+3+\"   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+4%2C+4+%29+%2B+log%28+4%2C+16+%29+=+3+ ALIGN=MIDDLE  ALT=\"+log%28+4%2C+4+%29+%2B+log%28+4%2C+16+%29+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+2+=+3+ ALIGN=MIDDLE  ALT=\"+1+%2B+2+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );