document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042172>Question 1042172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use properties of logarithms to rewrite each expression as the sum, difference, or product of logarithms and simplify if possible.<BR>\n" );
document.write( "a.) log(1/x+4^3)<BR>\n" );
document.write( "b.) ln cbrt(4x-2)\r<BR>\n" );
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document.write( "Rewrite each of these expressions as a single logarithm.<BR>\n" );
document.write( "a.) 2ln x-3ln y<BR>\n" );
document.write( "b.) 3(ln x+ln y)- 1/2 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 #657123 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "a) is ambiguous.  There are at least 3 ways that I can interpret the log argument.  Repost using sufficient parentheses so that it is clear which parts of the expression are in the denominator.\r<BR>\n" );
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document.write( "b) Use <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a^{\frac{1}{n}}\ =\ \sqrt[n]{a}\"> to write\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \ln\left(\sqrt[3]{4x\,-\,2}\right)\ =\ \ln\left(4x\,-\,2\right)^{\frac{1}{3}}\ =\ \frac{1}{3}\ln\left(4x\,-\,2\right)\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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