document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171164>Question 171164</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the logarithymatic equation. Express irratiional solitions in simplist radical form.\r<BR>\n" );
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document.write( "log(x+1)-log(x+5)=log1/x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126346 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=126346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the logarithymatic equation. Express irratiional solitions in simplist radical form.\r<BR>\n" );
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document.write( "log(x+1)-log(x+5)=log(1/x)\r<BR>\n" );
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document.write( "log(x+1) = log(1/x)+log(x+5)<BR>\n" );
document.write( "log(x+1) = log[(1/x)(x+5)]<BR>\n" );
document.write( "Take the anti-log to get:<BR>\n" );
document.write( "(1/x)(x+5) = x+1<BR>\n" );
document.write( "1 + (5/x) = x+1<BR>\n" );
document.write( "Multiply thru by x to get:\r<BR>\n" );
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document.write( "x + 5 = x^2 + x<BR>\n" );
document.write( "x^2=5<BR>\n" );
document.write( "x = sqrt(5) or x = -sqrt(5)<BR>\n" );
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document.write( "-sqrt(5) is extraneous as it would make log(x+1) be the log of a negative #.<BR>\n" );
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document.write( "Ans: x = sqrt(5)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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