document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232925>Question 232925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write as single logarithm loga 12 + loga 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172019 by </B><A HREF=/tutors/aboutme.mpl?userid=dpaulin><B>dpaulin(12)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dpaulin><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> remember the properties (product property) when you add logs with the same base multiply. in this case \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=loga+XY+=+loga+X+%2B+loga+Y ALIGN=MIDDLE  ALT=\"loga+XY+=+loga+X+%2B+loga+Y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so for your problem:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=loga+12x5+=+loga ALIGN=MIDDLE  ALT=\"loga+12x5+=+loga\"   DISABLED_style= \"max-width:90%; height:auto;\" >??? figure that out now\r<BR>\n" );
document.write( "\n" );
document.write( "also remember, when you subtract (quotient property) logs with the same base divide. if you multiple logs with the same base\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=loga+X%2FY=+loga+X+-+loga+Y ALIGN=MIDDLE  ALT=\"loga+X%2FY=+loga+X+-+loga+Y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "***Important everything to the right of the - sign goes in the denominator as long as the base is the same<BR>\n" );
document.write( "(assume base is 10 when base is not displayed) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+X+%2B+log+Y+-+log+X+%2B+log+Y ALIGN=MIDDLE  ALT=\"log+X+%2B+log+Y+-+log+X+%2B+log+Y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "I see this a lot and it is wrong\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%28XY%2FX%29Y ALIGN=MIDDLE  ALT=\"log+%28XY%2FX%29Y\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "the correct way is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%28XY%2FXY%29 ALIGN=MIDDLE  ALT=\"log+%28XY%2FXY%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );