document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240493>Question 240493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite as a sum and/or difference of multiples of logarithms:<BR>\n" );
document.write( "ln((3x^2)/square root 2x+1))....my answer was 2ln(3x) + 1/2ln(2x+1) is this correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176197 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=176197\">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=ln%28%283x%5E2%29%2F%28sqrt%282x%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"ln%28%283x%5E2%29%2F%28sqrt%282x%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283x%5E2%29-ln%28sqrt%282x%2B1%29%29 ALIGN=MIDDLE  ALT=\"ln%283x%5E2%29-ln%28sqrt%282x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the log using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%2Fy%29=ln%28x%29-ln%28y%29 ALIGN=MIDDLE  ALT=\"ln%28x%2Fy%29=ln%28x%29-ln%28y%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%283%29%2Bln%28x%5E2%29-ln%28sqrt%282x%2B1%29%29 ALIGN=MIDDLE  ALT=\"ln%283%29%2Bln%28x%5E2%29-ln%28sqrt%282x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the first log using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28xy%29=ln%28x%29%2Bln%28y%29 ALIGN=MIDDLE  ALT=\"ln%28xy%29=ln%28x%29%2Bln%28y%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%283%29%2Bln%28x%5E2%29-ln%28%282x%2B1%29%5E%281%2F2%29%29%5E%22%22 ALIGN=MIDDLE  ALT=\"ln%283%29%2Bln%28x%5E2%29-ln%28%282x%2B1%29%5E%281%2F2%29%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert to rational exponent notation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283%29%2B2%2Aln%28x%29-%281%2F2%29ln%282x%2B1%29 ALIGN=MIDDLE  ALT=\"ln%283%29%2B2%2Aln%28x%29-%281%2F2%29ln%282x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the exponents using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5Ey%29=y%2Aln%28x%29 ALIGN=MIDDLE  ALT=\"ln%28x%5Ey%29=y%2Aln%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%283x%5E2%29%2F%28sqrt%282x%2B1%29%29%29=ln%283%29%2B2%2Aln%28x%29-%281%2F2%29ln%282x%2B1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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