document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203539>Question 1203539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that x=ln(A) and y=ln(B). Write the following formula in terms of x and y \r<BR>\n" );
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document.write( "ln(A-B)=?\r<BR>\n" );
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document.write( "Hi everyone, I have been struggling with trying to figure out how to solve this. Any help and explaining how you solved it would be helpful :)   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839185 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=839185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "One log rule is ln(A)-ln(B) = ln(A/B)\r<BR>\n" );
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document.write( "But there isn't a log rule for ln(A-B)\r<BR>\n" );
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document.write( "I think there might be a typo in your textbook.\r<BR>\n" );
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document.write( "I suppose this could be one pathway to take, but it's a bit convoluted and messy.<BR>\n" );
document.write( "x = ln(A)<BR>\n" );
document.write( "y = ln(B)<BR>\n" );
document.write( "A = e^x<BR>\n" );
document.write( "B = e^y<BR>\n" );
document.write( "A-B = e^x - e^y<BR>\n" );
document.write( "A-B = e^x(1 - e^(y-x))<BR>\n" );
document.write( "Ln[A-B] = Ln[ e^x(1 - e^(y-x)) ]<BR>\n" );
document.write( "Ln[A-B] = Ln[e^x] + Ln[1 - e^(y-x) ]<BR>\n" );
document.write( "Ln[A-B] = 1 + Ln[1 - e^(y-x)]<BR>\n" );
document.write( "But we run into the same problem of having a log of the form Ln(something - somethingElse)<BR>\n" );
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