document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698510>Question 698510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve the following logarithm for x?\r<BR>\n" );
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document.write( "The base of the following logs is 2.\r<BR>\n" );
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document.write( "log(x-1) - log(x+3) = log(1/x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430741 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=430741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The base of the following logs is 2. <BR>\n" );
document.write( "log2(x-1) - log2(x+3) = log2(1/x)<BR>\n" );
document.write( "-----\r<BR>\n" );
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document.write( "log2[(x-1)/(x+3)] = log2(1/x)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Take the antilog of both sides:<BR>\n" );
document.write( "(x-1)/(x+3) = 1/x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Cross-multiply:<BR>\n" );
document.write( "x^2-x = x+3<BR>\n" );
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document.write( "x^2 -2x - 3 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-3)(x+1) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================== </SPAN>\n" );
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