document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729297>Question 729297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Condense the expression :<BR>\n" );
document.write( "0.5ln100-2lnx+8lny<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445829 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=445829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Logarithms have a rule which tells us, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2Aln%28a%29=ln%28a%5Ep%29 ALIGN=MIDDLE  ALT=\"p%2Aln%28a%29=ln%28a%5Ep%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  With that rule applied on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5ln%28100%29-2ln%28x%29%2B8ln%28y%29 ALIGN=MIDDLE  ALT=\"0.5ln%28100%29-2ln%28x%29%2B8ln%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can say this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28100%5E0.5%29-ln%28x%5E2%29%2Bln%28y%5E8%29 ALIGN=MIDDLE  ALT=\"ln%28100%5E0.5%29-ln%28x%5E2%29%2Bln%28y%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Logarithms have a rule which tells us, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cmn%29=log%28b%2Cm%29%2Blog%28b%2Cn%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cmn%29=log%28b%2Cm%29%2Blog%28b%2Cn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28m%2Fn%29%29=log%28b%2Cm%29-log%28b%2Cn%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28m%2Fn%29%29=log%28b%2Cm%29-log%28b%2Cn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  We can apply that rule to say this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28ln%28%28100%5E0.5%29%28y%5E8%29%2F%28x%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28ln%28%28100%5E0.5%29%28y%5E8%29%2F%28x%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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