document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=868356>Question 868356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write 3 ln a - 1/2(ln b + ln c2) as a single natural logarithm. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523498 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=523498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm going to be using log rules from the link below\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"http://www.purplemath.com/modules/logrules.htm\">http://www.purplemath.com/modules/logrules.htm</a>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Aln%28a%29+-+%281%2F2%29%2A%28ln%28b%29%2Bln%28c%5E2%29%29 ALIGN=MIDDLE  ALT=\"3%2Aln%28a%29+-+%281%2F2%29%2A%28ln%28b%29%2Bln%28c%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Aln%28a%29+-+%281%2F2%29%2Aln%28b%2Ac%5E2%29 ALIGN=MIDDLE  ALT=\"3%2Aln%28a%29+-+%281%2F2%29%2Aln%28b%2Ac%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Using rule 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%5E3%29+-+ln%28%28b%2Ac%5E2%29%5E%281%2F2%29%5E%22%22%29 ALIGN=MIDDLE  ALT=\"ln%28a%5E3%29+-+ln%28%28b%2Ac%5E2%29%5E%281%2F2%29%5E%22%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Using rule 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2A%28c%5E2%29%5E%281%2F2%29%5E%22%22%29 ALIGN=MIDDLE  ALT=\"ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2A%28c%5E2%29%5E%281%2F2%29%5E%22%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2Ac%5E%282%2A%281%2F2%29%29%5E%22%22%29 ALIGN=MIDDLE  ALT=\"ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2Ac%5E%282%2A%281%2F2%29%29%5E%22%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2Ac%5E%282%2F2%29%5E%22%22%29 ALIGN=MIDDLE  ALT=\"ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2Ac%5E%282%2F2%29%5E%22%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2Ac%5E1%29 ALIGN=MIDDLE  ALT=\"ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2Ac%5E1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%5E3%29+-+ln%28sqrt%28b%29%2Ac%29 ALIGN=MIDDLE  ALT=\"ln%28a%5E3%29+-+ln%28sqrt%28b%29%2Ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%5E3%29+-+ln%28c%2Asqrt%28b%29%29 ALIGN=MIDDLE  ALT=\"ln%28a%5E3%29+-+ln%28c%2Asqrt%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28a%5E3%29%2F%28c%2Asqrt%28b%29%29%29 ALIGN=MIDDLE  ALT=\"ln%28%28a%5E3%29%2F%28c%2Asqrt%28b%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Using rule 2 </SPAN>\n" );
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