document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126770>Question 126770</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395862981/algebrahomeworkh>Algebra 2 Explorations and Applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Could you possible help me write the following equation as a single number or expression?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F3+log+base+b+of+27+%2B+2+log+base+b+of+6+-+1%2F2+log+base+b+144+ ALIGN=MIDDLE  ALT=\"+1%2F3+log+base+b+of+27+%2B+2+log+base+b+of+6+-+1%2F2+log+base+b+144+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "much obliged, courtney renee </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93641 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93641\">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=+%281%2F3%29%2Alog%28b%2C27%29+%2B+2+%2Alog%28b%2C+6%29+-+%281%2F2%29+%2Alog%28b%2C+144%29+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2Alog%28b%2C27%29+%2B+2+%2Alog%28b%2C+6%29+-+%281%2F2%29+%2Alog%28b%2C+144%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Rule 1:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Alog%28b%2Cx%29=log%28b%2Cx%5En%29 ALIGN=MIDDLE  ALT=\"n%2Alog%28b%2Cx%29=log%28b%2Cx%5En%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Rule 2:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2Fn%29=root%28n%2Cx%29 ALIGN=MIDDLE  ALT=\"x%5E%281%2Fn%29=root%28n%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Rule 3:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%29%2Blog%28b%2Cy%29=log%28b%2Cxy%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%29%2Blog%28b%2Cy%29=log%28b%2Cxy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Rule 4:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%29-log%28b%2Cy%29=log%28b%2Cx%2Fy%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%29-log%28b%2Cy%29=log%28b%2Cx%2Fy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's start by applying Rule 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C27%5E%281%2F3%29%29+%2Blog%28b%2C+6%5E2%29+-+log%28b%2C+144%5E%281%2F2%29%29+ ALIGN=MIDDLE  ALT=\"log%28b%2C27%5E%281%2F3%29%29+%2Blog%28b%2C+6%5E2%29+-+log%28b%2C+144%5E%281%2F2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now Rule 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Croot%283%2C27%29%29+%2Blog%28b%2C+6%5E2%29+-+log%28b%2C+sqrt%28144%29%29+ ALIGN=MIDDLE  ALT=\"log%28b%2Croot%283%2C27%29%29+%2Blog%28b%2C+6%5E2%29+-+log%28b%2C+sqrt%28144%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And do the arithmetic:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C3%29+%2Blog%28b%2C36%29+-+log%28b%2C12%29+ ALIGN=MIDDLE  ALT=\"log%28b%2C3%29+%2Blog%28b%2C36%29+-+log%28b%2C12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now Rule 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C3%2A36%29-log%28b%2C12%29 ALIGN=MIDDLE  ALT=\"log%28b%2C3%2A36%29-log%28b%2C12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now Rule 4:<BR>\n" );
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document.write( "And simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C9%29 ALIGN=MIDDLE  ALT=\"log%28b%2C9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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