document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864898>Question 864898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would like to get an equation for the following table:<BR>\n" );
document.write( "Values are separated using (~)<BR>\n" );
document.write( "X     ~Y<BR>\n" );
document.write( "1     ~1<BR>\n" );
document.write( "2     ~3<BR>\n" );
document.write( "3     ~7<BR>\n" );
document.write( "4     ~15<BR>\n" );
document.write( "5     ~31<BR>\n" );
document.write( "6     ~63<BR>\n" );
document.write( "7     ~127<BR>\n" );
document.write( "8     ~255<BR>\n" );
document.write( "9     ~511<BR>\n" );
document.write( "10    ~1023<BR>\n" );
document.write( "I have been able to get an equation for the answers using previous answers, but I need an equation where I can put in a number (X) and get an answer (Y). Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521350 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=521350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you were to add 1 to each number in the y column, you'd get\r<BR>\n" );
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document.write( "1+1=2<BR>\n" );
document.write( "3+1=4<BR>\n" );
document.write( "7+1=8<BR>\n" );
document.write( "15+1=16<BR>\n" );
document.write( "31+1=32<BR>\n" );
document.write( "63+1=64<BR>\n" );
document.write( "127+1=128<BR>\n" );
document.write( "255+1=256<BR>\n" );
document.write( "511+1=512<BR>\n" );
document.write( "1023 +1=1024\r<BR>\n" );
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document.write( "So these are powers of 2. For instance, 4 = 2^2, 16 = 2^4, 256 = 2^8, etc\r<BR>\n" );
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document.write( "To get back to the original y list, we just subtract off 1 from the power of 2. Example: 1023 = (2^10) - 1 = 1024 - 1\r<BR>\n" );
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document.write( "So the overall equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2%5Ex+-+1 ALIGN=MIDDLE  ALT=\"y+=+2%5Ex+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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