document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142208>Question 142208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ln x-ln(x+7)=-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103526 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=103526\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%29-ln%28x%2B7%29=-1 ALIGN=MIDDLE  ALT=\"ln%28x%29-ln%28x%2B7%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28x%29%2F%28x%2B7%29%29=-1 ALIGN=MIDDLE  ALT=\"ln%28%28x%29%2F%28x%2B7%29%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28A%29-ln%28B%29=ln%28A%2FB%29 ALIGN=MIDDLE  ALT=\"ln%28A%29-ln%28B%29=ln%28A%2FB%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=e%5E%28-1%29=%28x%29%2F%28x%2B7%29 ALIGN=MIDDLE  ALT=\"e%5E%28-1%29=%28x%29%2F%28x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the property <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%29=y ALIGN=MIDDLE  ALT=\"ln%28x%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ey=x ALIGN=MIDDLE  ALT=\"e%5Ey=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to rewrite the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fe=%28x%29%2F%28x%2B7%29 ALIGN=MIDDLE  ALT=\"1%2Fe=%28x%29%2F%28x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-1%29 ALIGN=MIDDLE  ALT=\"e%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fe ALIGN=MIDDLE  ALT=\"1%2Fe\"   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=x%2B7=ex ALIGN=MIDDLE  ALT=\"x%2B7=ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=ex-x ALIGN=MIDDLE  ALT=\"7=ex-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract x from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=x%28e-1%29 ALIGN=MIDDLE  ALT=\"7=x%28e-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F%28e-1%29=x ALIGN=MIDDLE  ALT=\"7%2F%28e-1%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e-1 ALIGN=MIDDLE  ALT=\"e-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7%2F%28e-1%29 ALIGN=MIDDLE  ALT=\"x=7%2F%28e-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4.07384 ALIGN=MIDDLE  ALT=\"x=4.07384\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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