document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243038>Question 243038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Condense the expression to the logarithm of a single quantity<BR>\n" );
document.write( "2 ln(6) + 2 ln(z) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178034 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=178034\">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=2+ln%286%29+%2B+2+ln%28z%29 ALIGN=MIDDLE  ALT=\"2+ln%286%29+%2B+2+ln%28z%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%286%5E2%29+%2B+ln%28z%5E2%29 ALIGN=MIDDLE  ALT=\"ln%286%5E2%29+%2B+ln%28z%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Aln%28x%29=ln%28x%5Ey%29 ALIGN=MIDDLE  ALT=\"y%2Aln%28x%29=ln%28x%5Ey%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%2836%29+%2B+ln%28z%5E2%29 ALIGN=MIDDLE  ALT=\"ln%2836%29+%2B+ln%28z%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 6 to get 36\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2836z%5E2%29 ALIGN=MIDDLE  ALT=\"ln%2836z%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28A%29%2Bln%28B%29=ln%28A%2AB%29 ALIGN=MIDDLE  ALT=\"ln%28A%29%2Bln%28B%29=ln%28A%2AB%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=2+ln%286%29+%2B+2+ln%28z%29=ln%2836z%5E2%29 ALIGN=MIDDLE  ALT=\"2+ln%286%29+%2B+2+ln%28z%29=ln%2836z%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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