Question 791019
Man Index____________Paid
1____________________100
2____________________{{{2*100}}}
3____________________{{{2*2*100}}}
.
n____________________{{{100*2^(n-1)}}}



The index is the number or count of wealthy men.
{{{highlight(100*2^(n-1)=6553500)}}} php.


Simplification, {{{2^(n-1)=65535}}}, 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.  


You'll find {{{2^16=65536}}}, corresponding in our equation to {{{highlight(n=17)}}}.