document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4867>Question 4867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To expand the logarithmic expression as much as possible:\r<BR>\n" );
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document.write( "In x^3/(x-3)^2\r<BR>\n" );
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document.write( "Solve:<BR>\n" );
document.write( "log10 (x-30)= 3- log10 x<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 #2386 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i take it you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+%28x%5E3%2F%28x-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"ln+%28x%5E3%2F%28x-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >? If so, it becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5E3%29+-+ln%28x-3%29%5E2 ALIGN=MIDDLE  ALT=\"ln%28x%5E3%29+-+ln%28x-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3ln%28x%29+-+2ln%28x-3%29 ALIGN=MIDDLE  ALT=\"3ln%28x%29+-+2ln%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log10+%28x-30%29=+3-+log10+x ALIGN=MIDDLE  ALT=\"log10+%28x-30%29=+3-+log10+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >..I shall leave out the base, for ease of reading --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x-30%29=+3+-+log%28x%29 ALIGN=MIDDLE  ALT=\"log%28x-30%29=+3+-+log%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x-30%29+%2B+log%28x%29+=+3 ALIGN=MIDDLE  ALT=\"log%28x-30%29+%2B+log%28x%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%28x-30%29%29+=+3 ALIGN=MIDDLE  ALT=\"log%28x%28x-30%29%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%5E2-30x%29+=+3 ALIGN=MIDDLE  ALT=\"log%28x%5E2-30x%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-30x+=+10%5E3 ALIGN=MIDDLE  ALT=\"x%5E2-30x+=+10%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-30x+=+1000 ALIGN=MIDDLE  ALT=\"x%5E2-30x+=+1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-30x-1000+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-30x-1000+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(x+20)(x-50) = 0\r<BR>\n" );
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document.write( "so x+20 = 0 OR x-50=0\r<BR>\n" );
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document.write( "so, x=-20 or x=50\r<BR>\n" );
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document.write( "in terms of logs, you cannot have negatives, so x=-20 will not be allowed, so x=50 is your one and only answer.\r<BR>\n" );
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document.write( "jon<BR>\n" );
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