document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47179>Question 47179</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the logarithm in a simplified form?\r<BR>\n" );
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document.write( "3lnx-2lny-4lnz </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31245 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=31245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember this rule: a.log(b)=log(b^a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3ln%28x%29-2ln%28y%29-4ln%28z%29=ln%28x%5E3%29-ln%28y%5E2%29-ln%28z%5E4%29 ALIGN=MIDDLE  ALT=\"3ln%28x%29-2ln%28y%29-4ln%28z%29=ln%28x%5E3%29-ln%28y%5E2%29-ln%28z%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Another rule: log(a)-log(b)=log(a/b) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5E3%29-ln%28y%5E2%29-ln%28z%5E4%29=ln%28%28x%5E3%29%2F%28y%5E2%29%29-ln%28z%5E4%29 ALIGN=MIDDLE  ALT=\"ln%28x%5E3%29-ln%28y%5E2%29-ln%28z%5E4%29=ln%28%28x%5E3%29%2F%28y%5E2%29%29-ln%28z%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28x%5E3%29%2F%28y%5E2%29%29-ln%28z%5E4%29=ln%28%28x%5E3%29%2F%28y%5E2%2Az%5E4%29%29 ALIGN=MIDDLE  ALT=\"ln%28%28x%5E3%29%2F%28y%5E2%29%29-ln%28z%5E4%29=ln%28%28x%5E3%29%2F%28y%5E2%2Az%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the full expansion is: <BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3ln%28x%29-2ln%28y%29-4ln%28z%29=ln%28%28x%5E3%29%2F%28y%5E2%2Az%5E4%29%29 ALIGN=MIDDLE  ALT=\"3ln%28x%29-2ln%28y%29-4ln%28z%29=ln%28%28x%5E3%29%2F%28y%5E2%2Az%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I hope this helps,<BR>\n" );
document.write( "Adam<BR>\n" );
document.write( "P.S. please visit my website, it may be helpful to you. The address is www.geocities.com/quibowibbler \r<BR>\n" );
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