document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464366>Question 464366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to solve log4(x)=2-log4(x-6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318108 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=318108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve log4(x)=2-log4(x-6)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "log4(x) + log4(x-6) = 2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "log4[x(x-6)] = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2-6x = 4^2<BR>\n" );
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document.write( "x^2-6x-16 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-8)(x+2) = 0<BR>\n" );
document.write( "x = 8 or x = -2<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Checking:<BR>\n" );
document.write( "Only x = 8 is an acceptable solution as log4(-2) does not exist.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );