document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=401464>Question 401464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving for the variable of \"x\" in this equation: \r<BR>\n" );
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document.write( "2^(x+1)= 192+ 2^(x-1)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284134 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=284134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help solving for the variable of \"x\" in this equation:<BR>\n" );
document.write( "2^(x+1)= 192+ 2^(x-1)<BR>\n" );
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document.write( "2^(x+1)-2^(x-1)=192<BR>\n" );
document.write( "factor out 2^(x+1)<BR>\n" );
document.write( "2^(x+1)(1-(2^-2))=192  note:(2^(x+1)*2^-2=2^(x-1))<BR>\n" );
document.write( "2^(x+1)(1-1/4)=192<BR>\n" );
document.write( "2^(x+1)(3/4)=192<BR>\n" );
document.write( "2^(x+1)=256<BR>\n" );
document.write( "(x+1)log2=log256<BR>\n" );
document.write( "x+1=log256/log2=8<BR>\n" );
document.write( "ans: x=7\r<BR>\n" );
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document.write( " </SPAN>\n" );
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