document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138622>Question 138622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the logarithmic equation. be sure to reject any value that is not in the domain of the original logarithmic expression. Give the exact answer.\r<BR>\n" );
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document.write( "log2(x-1) = 1 + log2 (x-5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101171 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log2(x-1) = 1 + log2 (x-5)<BR>\n" );
document.write( "log2(x-1) - log2 (x-5)= 1<BR>\n" );
document.write( "log2((x-1)/(x-5))=1 (because log(a)-log(b)=log(a/b))<BR>\n" );
document.write( "x-1/x-5=2<BR>\n" );
document.write( "x-1=2x-10<BR>\n" );
document.write( "-x+9=0<BR>\n" );
document.write( "x=9\r<BR>\n" );
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document.write( "checking:\r<BR>\n" );
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document.write( "log2(8)=1+log2(4)<BR>\n" );
document.write( "3=1+2\r<BR>\n" );
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document.write( "Answer: x=9 </SPAN>\n" );
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