document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057650>Question 1057650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ln(x-3)-ln(x+10)=ln(x-4)-ln(x+4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672716 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=672716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the following law of logarithms:\r<BR>\n" );
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document.write( "ln(a) - ln(b) = ln(a/b)\r<BR>\n" );
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document.write( "the equation can be rewritten as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28x-3%29%2F%28x%2B10%29%29+=+ln%28%28x+-+4%29%2F%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"ln%28%28x-3%29%2F%28x%2B10%29%29+=+ln%28%28x+-+4%29%2F%28x+%2B+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If ln(a) = ln(b), then a = b. Applying this to the above equation gives:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-3%29%2F%28x%2B10%29%29+=+%28%28x+-+4%29%2F%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-3%29%2F%28x%2B10%29%29+=+%28%28x+-+4%29%2F%28x+%2B+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiplying both sides by (x + 10)(x + 4) then gives:\r<BR>\n" );
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document.write( "(x - 3)(x + 4) = (x - 4)(x + 10)\r<BR>\n" );
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document.write( "Using the FOIL method to expand the terms on both sides gives:\r<BR>\n" );
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document.write( "x^2 - 3x + 4x - 12 = x^2 - 4x + 10x - 40\r<BR>\n" );
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document.write( "x^2 + x - 12 = x^2 + 6x - 40\r<BR>\n" );
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document.write( "Subtracting x^2 from both sides leaves:\r<BR>\n" );
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document.write( "x - 12 = 6x - 40\r<BR>\n" );
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document.write( "6x - 40 = x - 12\r<BR>\n" );
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document.write( "Adding 40 to both sides gives:\r<BR>\n" );
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document.write( "6x = x - 12 + 40\r<BR>\n" );
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document.write( "6x = x + 28\r<BR>\n" );
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document.write( "Subtracting x from both sides then gives:\r<BR>\n" );
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document.write( "6x - x = 28\r<BR>\n" );
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document.write( "5x = 28\r<BR>\n" );
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document.write( "Dividing both sides by 5 then gives:\r<BR>\n" );
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document.write( "<strong>x = 28/5</strong> </SPAN>\n" );
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