document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=677085>Question 677085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1/2)^(3x-6)=8^(x+1)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420673 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=420673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  (1/2)^(3x-6)=8^(x+1)<BR>\n" );
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document.write( "Convert both sides to the same base:<BR>\n" );
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document.write( "(2^-1)^(3x-6) = (2^3)^(x+1)<BR>\n" );
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document.write( "= (2)^(-3x+6) = (2)^(3x+3)<BR>\n" );
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document.write( "Equate the exponents:<BR>\n" );
document.write( "-3x+6 = 3x+3<BR>\n" );
document.write( "6x = 3<BR>\n" );
document.write( "x = 1/2<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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