document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036380>Question 1036380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve<BR>\n" );
document.write( "Log (3x) base 5 + log(x-3) base 5= log 30 base 5  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651070 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=651070\">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+5%2C+3x+%29+%2B+log%28+5%2C+x-3+%29+=+log%28+5%2C+30+%29+ ALIGN=MIDDLE  ALT=\"+log%28+5%2C+3x+%29+%2B+log%28+5%2C+x-3+%29+=+log%28+5%2C+30+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+a%2Ab+%29+=+log%28+a+%29+%2B+log%28+b+%29+ ALIGN=MIDDLE  ALT=\"+log%28+a%2Ab+%29+=+log%28+a+%29+%2B+log%28+b+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+5%2C+3x%2A%28x-3%29+%29+=+log%28+5%2C+30+%29+ ALIGN=MIDDLE  ALT=\"+log%28+5%2C+3x%2A%28x-3%29+%29+=+log%28+5%2C+30+%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%2A%28+x-3+%29+=+30+ ALIGN=MIDDLE  ALT=\"+3x%2A%28+x-3+%29+=+30+\"   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+-+9x+=+30+ ALIGN=MIDDLE  ALT=\"+3x%5E2+-+9x+=+30+\"   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+=+10+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+3x+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+3x+%2B+%28+3%2F2+%29%5E2+=+10+%2B+%28+3%2F2+%29%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+3x+%2B+%28+3%2F2+%29%5E2+=+10+%2B+%28+3%2F2+%29%5E2+\"   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+9%2F4+=+10+%2B+9%2F4+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+3x+%2B+9%2F4+=+10+%2B+9%2F4+\"   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%2F2+%29%5E2+=+49%2F4+ ALIGN=MIDDLE  ALT=\"+%28+x+-+3%2F2+%29%5E2+=+49%2F4+\"   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%2F2+%29%5E2+=+%28+7%2F2+%29%5E2+ ALIGN=MIDDLE  ALT=\"+%28+x+-+3%2F2+%29%5E2+=+%28+7%2F2+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+3%2F2+=+7%2F2+ ALIGN=MIDDLE  ALT=\"+x+-+3%2F2+=+7%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+10%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+10%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+5+ ALIGN=MIDDLE  ALT=\"+x+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, also:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+3%2F2+=+-7%2F2+ ALIGN=MIDDLE  ALT=\"+x+-+3%2F2+=+-7%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-4%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+-4%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-2+ ALIGN=MIDDLE  ALT=\"+x+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "check the answers:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+5+ ALIGN=MIDDLE  ALT=\"+x+=+5+\"   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+5%2C+3x+%29+%2B+log%28+5%2C+%28x-3%29+%29+=+log%28+5%2C+30+%29+ ALIGN=MIDDLE  ALT=\"+log%28+5%2C+3x+%29+%2B+log%28+5%2C+%28x-3%29+%29+=+log%28+5%2C+30+%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+5%2C+3%2A5+%29+%2B+log%28+5%2C+%285-3%29+%29+=+log%28+5%2C+30+%29+ ALIGN=MIDDLE  ALT=\"+log%28+5%2C+3%2A5+%29+%2B+log%28+5%2C+%285-3%29+%29+=+log%28+5%2C+30+%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+5%2C+15+%29+%2B+log%28+5%2C+2+%29+=+log%28+5%2C+30+%29+ ALIGN=MIDDLE  ALT=\"+log%28+5%2C+15+%29+%2B+log%28+5%2C+2+%29+=+log%28+5%2C+30+%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+5%2C+15%2A2+%29+=+log%28+5%2C+30+%29+ ALIGN=MIDDLE  ALT=\"+log%28+5%2C+15%2A2+%29+=+log%28+5%2C+30+%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+5%2C+30+%29+=+log%28+5%2C+30+%29+ ALIGN=MIDDLE  ALT=\"+log%28+5%2C+30+%29+=+log%28+5%2C+30+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-2+ ALIGN=MIDDLE  ALT=\"+x+=+-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+5%2C+3x+%29+%2B+log%28+5%2C+x-3+%29+=+log%28+5%2C+30+%29+ ALIGN=MIDDLE  ALT=\"+log%28+5%2C+3x+%29+%2B+log%28+5%2C+x-3+%29+=+log%28+5%2C+30+%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+5%2C+3%2A%28-2%29+%29+%2B+log%28+5%2C+%28-2-3%29+%29+=+log%28+5%2C+30+%29+ ALIGN=MIDDLE  ALT=\"+log%28+5%2C+3%2A%28-2%29+%29+%2B+log%28+5%2C+%28-2-3%29+%29+=+log%28+5%2C+30+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This answer doesn't work. You can't raise <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+ ALIGN=MIDDLE  ALT=\"+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to<BR>\n" );
document.write( "a real exponent and get a negative result </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );