document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=710169>Question 710169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Contract the expressions. That is, use the properties of logarithms to write each expression as a single logarithm with a coefficient of 1. \r<BR>\n" );
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document.write( "ln 3 &#8722; 2 ln 7 + ln 14\r<BR>\n" );
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document.write( "ln 3 &#8722; 2 ln(6 + 6)\r<BR>\n" );
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document.write( "ln 3 &#8722; 2(ln 4 + ln 8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436901 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=436901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write each expression as a single logarithm with a coefficient of 1. \r<BR>\n" );
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document.write( "ln 3 &#8722; 2 ln 7 + ln 14 <BR>\n" );
document.write( "---<BR>\n" );
document.write( "= ln[3*14/7^2]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= ln[6/7]<BR>\n" );
document.write( "=====================\r<BR>\n" );
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document.write( "ln 3 &#8722; 2 ln(6 + 6)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= ln[3/12^2]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= ln[1/48]<BR>\n" );
document.write( "====================<BR>\n" );
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document.write( "ln 3 &#8722; 2(ln 4 + ln 8)<BR>\n" );
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document.write( "ln(3)- 2ln(4)- 2ln(8)<BR>\n" );
document.write( "===<BR>\n" );
document.write( "ln(3)-ln*16 - ln(64)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= ln[3/(16*64)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "ln[3/1024]<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================<BR>\n" );
document.write( " </SPAN>\n" );
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