document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061200>Question 1061200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Log(4+x)-log(x-5)=log2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676010 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log(4+x) is the same as log(x+4)\r<BR>\n" );
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document.write( "you get log(x+4) - log(x-5) = log((x+4)/(x-5))\r<BR>\n" );
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document.write( "therefore:\r<BR>\n" );
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document.write( "log((x+4)/(x-5)) = log(2)\r<BR>\n" );
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document.write( "this is true if and only if (x+4)/(x-5) = 2\r<BR>\n" );
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document.write( "solve for x to get x = 14.\r<BR>\n" );
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document.write( "replace x with 14 to see that the original equation is true.\r<BR>\n" );
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document.write( "log(x+4) = log(18).<BR>\n" );
document.write( "log(x-5) = l0og(9).\r<BR>\n" );
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document.write( "you get log(18) - log(9) = log(2).\r<BR>\n" );
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document.write( "evaluate log(18) - log(9) to get .3010299957\r<BR>\n" );
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document.write( "evaluate log(2) to get .3010299957.\r<BR>\n" );
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document.write( "they're the same, so the value of x = 14 is confirmed to be good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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