SOLUTION: 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 t

Question 791019: 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?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Man Index____________Paid
1____________________100
2____________________
3____________________
.
n____________________

The index is the number or count of wealthy men.
php.

Simplification, , 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 , corresponding in our equation to .
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