document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757382>Question 757382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you explain how to solve logarithmic expressions so that they are single logarithms?<BR>\n" );
document.write( "Example:<BR>\n" );
document.write( "How would you solve:<BR>\n" );
document.write( "log 15+ log 8 as a single expression. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460773 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=460773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rule is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28a%29+%2B+log%28b%29+=+log%28%28+a%2Ab+%29%29+ ALIGN=MIDDLE  ALT=\"+log%28a%29+%2B+log%28b%29+=+log%28%28+a%2Ab+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "You can see this very well if you use<BR>\n" );
document.write( "logs to the base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ ALIGN=MIDDLE  ALT=\"+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Suppose the equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+10000+%29+%2B+log%28+100000000+%29+ ALIGN=MIDDLE  ALT=\"+log%28+10000+%29+%2B+log%28+100000000+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+10%5E4+%29+%2B+log%28+10%5E8+%29+ ALIGN=MIDDLE  ALT=\"+log%28+10%5E4+%29+%2B+log%28+10%5E8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+%2B+8+=+12+ ALIGN=MIDDLE  ALT=\"+4+%2B+8+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Applying the rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+10%5E4+%29+%2B+log%28+10%5E8+%29+=+log%28%28+10%5E4+%2A+10%5E8+%29%29+ ALIGN=MIDDLE  ALT=\"+log%28+10%5E4+%29+%2B+log%28+10%5E8+%29+=+log%28%28+10%5E4+%2A+10%5E8+%29%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+10%5E4+%2A+10%5E8+%29+=+log%28+10%5E12+%29+ ALIGN=MIDDLE  ALT=\"+log%28+10%5E4+%2A+10%5E8+%29+=+log%28+10%5E12+%29+\"   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=+log%28+10%5E12+=+12+%29+ ALIGN=MIDDLE  ALT=\"+log%28+10%5E12+=+12+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so, the rule works.<BR>\n" );
document.write( "In words, the rule says, \" Add the logs of 2 numbers <BR>\n" );
document.write( "and you will get the<BR>\n" );
document.write( "same result if you multiply the 2 numbers <BR>\n" );
document.write( "themselves and then take the log of that product.<BR>\n" );
document.write( "Hope this helps\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );