document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=856194>Question 856194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I am clueless where to go from here:\r<BR>\n" );
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document.write( "Consider the following equation:<BR>\n" );
document.write( "ln(x+7) - ln(x-5)=ln x\r<BR>\n" );
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document.write( "A. Solve the logarithmic equation algebraically<BR>\n" );
document.write( "X=\r<BR>\n" );
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document.write( "B. Round your result to three decimal places<BR>\n" );
document.write( "X=\r<BR>\n" );
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document.write( "This is what I have so far=<BR>\n" );
document.write( "ln(x+7) - ln(x-5) - ln x= 0<BR>\n" );
document.write( "ln(x+7)/x(x-5)=0<BR>\n" );
document.write( "(x+7)/x(x-5)=1<BR>\n" );
document.write( "x+7=x^2-5x<BR>\n" );
document.write( "x^2-6x-7=0\r<BR>\n" );
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document.write( "Now I don't understand what to do. Can you please help me in understanding this equation?\r<BR>\n" );
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document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515791 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=515791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're almost there.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x-7=0 ALIGN=MIDDLE  ALT=\"x%5E2-6x-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%28x-7%29%28x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two possible solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7=0 ALIGN=MIDDLE  ALT=\"x-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Verify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%287%2B7%29-ln%287-5%29=ln%287%29 ALIGN=MIDDLE  ALT=\"ln%287%2B7%29-ln%287-5%29=ln%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%2814%29-ln%282%29=ln%287%29 ALIGN=MIDDLE  ALT=\"ln%2814%29-ln%282%29=ln%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "True<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=0 ALIGN=MIDDLE  ALT=\"x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Can't be a solution since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28-1%29 ALIGN=MIDDLE  ALT=\"ln%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not defined.<BR>\n" );
document.write( "Only 1 solution, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7 ALIGN=MIDDLE  ALT=\"x=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );