document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698001>Question 698001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm in Algebra 2 and this is my first year learning Logarithms.. I don't understand how to use the proerties of lag. to evaluate a problem..\r<BR>\n" );
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document.write( "example \" log3^9 + log3^36 - log3^4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430412 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=430412\">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%283%5E9%29+%2B+log%283%5E36%29+-+log%283%5E4%29+ ALIGN=MIDDLE  ALT=\"+log%283%5E9%29+%2B+log%283%5E36%29+-+log%283%5E4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You need to follow 2 general rules to simplify this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28a%29+%2B+log%28b%29+-+log%28c%29+=+log%28+%28a%2Ab%29%2Fc+%29+ ALIGN=MIDDLE  ALT=\"+log%28a%29+%2B+log%28b%29+-+log%28c%29+=+log%28+%28a%2Ab%29%2Fc+%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+a%5Eb+%29+=+b%2Alog%28a%29+ ALIGN=MIDDLE  ALT=\"+log%28+a%5Eb+%29+=+b%2Alog%28a%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=+9%2Alog%283%29+%2B+36%2Alog%283%29+-+4%2Alog%283%29++ ALIGN=MIDDLE  ALT=\"+9%2Alog%283%29+%2B+36%2Alog%283%29+-+4%2Alog%283%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%283%29+ ALIGN=MIDDLE  ALT=\"+log%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a common factor which I can factor out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%283%29%2A%28+9+%2B+36+-+4+%29+ ALIGN=MIDDLE  ALT=\"+log%283%29%2A%28+9+%2B+36+-+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+41%2Alog%283%29+ ALIGN=MIDDLE  ALT=\"+41%2Alog%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Note that if the base is not specified, it is assumed that<BR>\n" );
document.write( "the base of the log is <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( "Actually, any base is possible to use here, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+ ALIGN=MIDDLE  ALT=\"+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the best.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%283%2C3%5E9%29+%2B+log%283%2C3%5E36%29+-+log%283%2C3%5E4%29+=+9+%2B+36+-+4+ ALIGN=MIDDLE  ALT=\"+log%283%2C3%5E9%29+%2B+log%283%2C3%5E36%29+-+log%283%2C3%5E4%29+=+9+%2B+36+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+41+ ALIGN=MIDDLE  ALT=\"+41+\"   DISABLED_style= \"max-width:90%; height:auto;\" > This matches the answer<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+41%2Alog%283%2C3%29+=+41+ ALIGN=MIDDLE  ALT=\"+41%2Alog%283%2C3%29+=+41+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28a%2Ca%29+=+1+ ALIGN=MIDDLE  ALT=\"+log%28a%2Ca%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > always<BR>\n" );
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document.write( "The main thing to remember is <BR>\n" );
document.write( "\" logs are exponents \" and you read something like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%285%2C11%29+ ALIGN=MIDDLE  ALT=\"+log%285%2C11%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > as: This is the exponent that I 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( "and the result is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11+ ALIGN=MIDDLE  ALT=\"+11+\"   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%282%2C2%29+ ALIGN=MIDDLE  ALT=\"+log%282%2C2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > says: This is the exponent that I raise <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to<BR>\n" );
document.write( "in order to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( obviously it is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1 ALIGN=MIDDLE  ALT=\"+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ) , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%282%2C2%29+=+1+ ALIGN=MIDDLE  ALT=\"+log%282%2C2%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps. I have to keep reminding myself how logs<BR>\n" );
document.write( "work to keep it straight. Keep going back to the general<BR>\n" );
document.write( "rules and it will eventually make sense.<BR>\n" );
document.write( "Write exponents out the long way , too<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%5E7+=+5%2A5%2A5%2A5%2A5%2A5%2A5+ ALIGN=MIDDLE  ALT=\"+5%5E7+=+5%2A5%2A5%2A5%2A5%2A5%2A5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%5E7+=+%285%2A5%2A5%29%2A%285%2A5%2A5%29%2A5+ ALIGN=MIDDLE  ALT=\"+5%5E7+=+%285%2A5%2A5%29%2A%285%2A5%2A5%29%2A5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%5E7+=+5%5E3%2A5%5E3%2A5%5E1+ ALIGN=MIDDLE  ALT=\"+5%5E7+=+5%5E3%2A5%5E3%2A5%5E1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%5E7+=+5%5E%28+3+%2B+3+%2B+1+%29+ ALIGN=MIDDLE  ALT=\"+5%5E7+=+5%5E%28+3+%2B+3+%2B+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And on and on . . .\r<BR>\n" );
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document.write( " </SPAN>\n" );
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