document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895141>Question 895141</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2^(x-1)+2^(x-1)=2860 find the value of x ?  (Surds and indices) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542586 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=542586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2^(x-1) + 2^(x-1) = 2*2^(x-1)\r<BR>\n" );
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document.write( "your formula becomes:\r<BR>\n" );
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document.write( "2*2^(x-1) = 2860\r<BR>\n" );
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document.write( "divide both sides by 2 to get:\r<BR>\n" );
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document.write( "2^(x-1) = 1430\r<BR>\n" );
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document.write( "take log of both sides to get:\r<BR>\n" );
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document.write( "log(2^(x-1) = log(1430\r<BR>\n" );
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document.write( "since log(2^(x-1)) = (x-1)*log(2), your equation becomes:\r<BR>\n" );
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document.write( "(x-1)*log(2) = log(1430)\r<BR>\n" );
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document.write( "divide both sides by log(2) to get:\r<BR>\n" );
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document.write( "x-1 = (1og(1430)/log(2)\r<BR>\n" );
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document.write( "add 1 to both sides to get:\r<BR>\n" );
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document.write( "x = log(1430)/log(2) + 1\r<BR>\n" );
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document.write( "solve for x to get x = 11.48179...\r<BR>\n" );
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document.write( "confirm by going back to the original equation to get:\r<BR>\n" );
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document.write( "2^(11.28179... - 1) + 2^(11.28179... - 1) = 2860\r<BR>\n" );
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document.write( "solve to get:\r<BR>\n" );
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document.write( "2860 = 2860.\r<BR>\n" );
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document.write( "your answer is that x = 11.48179943...\r<BR>\n" );
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document.write( "the value for x was internally stored in my calculator.\r<BR>\n" );
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document.write( "all calculations were done using the stored number.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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