document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172077>Question 172077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve log base 2^(x-2)=logbase2^(x-4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127125 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=127125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve log base 2^(x-2)=logbase2^(x-4)<BR>\n" );
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document.write( "log2 sqrt(x-2)- log2 sqrt(x-4) = 0\r<BR>\n" );
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document.write( "= log2[sqrt(x-2)/sqrt(x-4)] = 0\r<BR>\n" );
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document.write( "= sqrt[(x-2)/(x-4)] = 2^0\r<BR>\n" );
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document.write( "Square both sides to get:<BR>\n" );
document.write( "[(x-2)/(x-4)] [(x-2)/(x-4)]  =1<BR>\n" );
document.write( "x-2 = x-4<BR>\n" );
document.write( "-2 = -4<BR>\n" );
document.write( "A contradiction.<BR>\n" );
document.write( "No solution for the original equation.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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