document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=773909>Question 773909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to convert 2^X=Y (2 to the X power)so that X is on one side of the equation. Even if we know what Y is, I cant for the life of me figure out how to get the unknown rational decimal exponent on one side of the equation.\r<BR>\n" );
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document.write( "I am trying to make a formula for my spreadsheet that will take in the number of lottery tickets I buy (Y) and figure out to what the exact odds are that I would win.\r<BR>\n" );
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document.write( "Example: Odds with 1 ticket are 1:1,000,000, so 2 tickets are 1:500,000, 4 tickets are 1:250,000 and 8 tickets are 1:125,000 and so on.\r<BR>\n" );
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document.write( "I am trying to figure out a formula so I can enter in 40 tickets and the formula gives me the 2^X power value and then I use that X value to manipulate the odds to see what the odds are for said Y tickets.\r<BR>\n" );
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document.write( "Am barking up the wrong tree with decimal exponents?  Should I be looking in Statistics or something?  please help me get in the right direction.  Thank you.\r<BR>\n" );
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document.write( "Patrick Barry </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #471919 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=471919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It sounds like you want to solve 2^x = 40 for x\r<BR>\n" );
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document.write( "If so, then \r<BR>\n" );
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document.write( "2^x = 40\r<BR>\n" );
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document.write( "log(2^x) = log(40) ... apply the log function to both sides\r<BR>\n" );
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document.write( "x*log(2) = log(40)\r<BR>\n" );
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document.write( "x = log(40)/log(2)\r<BR>\n" );
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document.write( "x = 5.32192809488737 ... use a calculator to evaluate\r<BR>\n" );
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document.write( "Let me know if this is what you're looking for </SPAN>\n" );
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