document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=791019>Question 791019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a benefit show, a number of wealthy men agreed that the first one to arrive would pay 100 php to enter and each later arrival would pay twice as much as the preceding man. The total amount collected from all of them was 6553500 php. How many wealthy men paid? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #479373 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=479373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Man Index____________Paid<BR>\n" );
document.write( "1____________________100<BR>\n" );
document.write( "2____________________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A100 ALIGN=MIDDLE  ALT=\"2%2A100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3____________________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A2%2A100 ALIGN=MIDDLE  ALT=\"2%2A2%2A100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "n____________________<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A2%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"100%2A2%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The index is the number or count of wealthy men.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28100%2A2%5E%28n-1%29=6553500%29 ALIGN=MIDDLE  ALT=\"highlight%28100%2A2%5E%28n-1%29=6553500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > php.\r<BR>\n" );
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document.write( "Simplification, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28n-1%29=65535 ALIGN=MIDDLE  ALT=\"2%5E%28n-1%29=65535\"   DISABLED_style= \"max-width:90%; height:auto;\" >, obviously a minor accuracy problem happening, but you have two ways to solve the equation.  One way, find several consecutive powers of 2; and the other way, use logarithms, whichever base you like.  \r<BR>\n" );
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document.write( "You'll find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E16=65536 ALIGN=MIDDLE  ALT=\"2%5E16=65536\"   DISABLED_style= \"max-width:90%; height:auto;\" >, corresponding in our equation to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=17%29 ALIGN=MIDDLE  ALT=\"highlight%28n=17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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