document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=630479>Question 630479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify logarithms to rewrite the following expressions in terms of u and t. Let ln x=t and ln y = u. \r<BR>\n" );
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document.write( "[(ln x)^3 - ln (x^4)] / (lnx/e^2)ln(xe^2) \r<BR>\n" );
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document.write( "This problems is stumping me!!!! I don't know what to do, since some lnx are inside parentheses and others aren't.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396932 by </B><A HREF=/tutors/aboutme.mpl?userid=Tatiana_Stebko><B>Tatiana_Stebko(1539)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Tatiana_Stebko><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=Tatiana_Stebko><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=396932\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the properties <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%5En%29=n%2Alna ALIGN=MIDDLE  ALT=\"ln%28a%5En%29=n%2Alna\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%2Ab%29=lna%2Blnb ALIGN=MIDDLE  ALT=\"ln%28a%2Ab%29=lna%2Blnb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%2Fb%29=lna-lnb ALIGN=MIDDLE  ALT=\"ln%28a%2Fb%29=lna-lnb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lne=1 ALIGN=MIDDLE  ALT=\"lne=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28ln+x%29%5E3+-+ln+%28x%5E4%29%29%2F%28%28ln%28x%2Fe%5E2%29%29ln%28xe%5E2%29%29=%28%28ln+x%29%5E3+-+4lnx%29%2F%28%28lnx-ln%28e%5E2%29%29%28lnx%2Bln%28e%5E2%29%29%29=%28%28ln+x%29%5E3+-+4lnx%29%2F%28%28lnx-2lne%29%28lnx%2B2lne%29%29=%28%28ln+x%29%5E3+-+4lnx%29%2F%28%28lnx-2%29%28lnx%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( " Use the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-b%29%28a%2Bb%29=a%5E2-b%5E2 ALIGN=MIDDLE  ALT=\"%28a-b%29%28a%2Bb%29=a%5E2-b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28ln+x%29%5E3+-+4lnx%29%2F%28%28lnx-2%29%28lnx%2B2%29%29=%28%28ln+x%29%5E3+-+4lnx%29%2F%28%28lnx%29%5E2-4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+x=t ALIGN=MIDDLE  ALT=\"ln+x=t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28ln+x%29%5E3+-+4lnx%29%2F%28%28lnx%29%5E2-4%29=%28t%5E3-4t%29%2F%28t%5E2-4%29=t%28t%5E2-4%29%2F%28t%5E2-4%29=t ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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