document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=670411>Question 670411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do I solve 4^(x-6)=16^x\r<BR>\n" );
document.write( "\n" );
document.write( "I tried two methods, one where I change the base of 16 to 4^2 and solve from there, I got x=8\r<BR>\n" );
document.write( "\n" );
document.write( "and then I tried the long method of making each one a log but my answer came out to be x=-2\r<BR>\n" );
document.write( "\n" );
document.write( "though my book says the answer should be -6...\r<BR>\n" );
document.write( "\n" );
document.write( "thank you in advance for any help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416915 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=416915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4^(x-6)=16^x <BR>\n" );
document.write( "----<BR>\n" );
document.write( "4^(x-6) = (4^2)^x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "4^(x-6) = 4^(2x)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x-6 = 2x<BR>\n" );
document.write( "x = -6<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );