document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016245>Question 1016245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the expression as a single natural logarithm:<BR>\n" );
document.write( "3 IN x - 2 In c </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #632671 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=632671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe you mean ln for natural log.<BR>\n" );
document.write( "in capital letters that's LN.\r<BR>\n" );
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document.write( "start with 3 * ln(x) - 2 * ln(c).\r<BR>\n" );
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document.write( "3 * ln(x) is equal to ln(x^3).\r<BR>\n" );
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document.write( "2 * ln(c) is equal to ln(c^2)\r<BR>\n" );
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document.write( "your expression becomes ln(x^3) - ln(c^2)\r<BR>\n" );
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document.write( "ln(x^3) - ln(c^2) is equal to ln(x^3/c^2)\r<BR>\n" );
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document.write( "you're done.\r<BR>\n" );
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document.write( "in general, the properties of logarithms are as follows:\r<BR>\n" );
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document.write( "log(a) + log(b) = log(a*b)\r<BR>\n" );
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document.write( "log(a) - log(b) = log(a/b)\r<BR>\n" );
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document.write( "a * log(b) = log(b^a)\r<BR>\n" );
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document.write( "logb(a) = c if and only if b^c = a\r<BR>\n" );
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document.write( "you need to study these and become familiar with them or you'll get lost real early.\r<BR>\n" );
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document.write( "here's a reference that might help.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/logrules.htm\" target = \"_blank\">http://www.purplemath.com/modules/logrules.htm</a>\r<BR>\n" );
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document.write( "here's another one.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut44_logprop.htm\" target = \"_blank\">http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut44_logprop.htm</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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