## math people - help me better understand pokerstars tlb formula

Hey math guys, I'm bad at math.

Here is the page on PokerStars.com that explains it: The PokerStars Tournament Ranking System

The formula they use is:

Points = 10 * [sqrt(n)/sqrt(k)] * [1+log(b+0.25)]

Where:

n is the number of entrants
k is the place of finish (k=1 for the first-place finisher, and so on)
b is the buy-in amount in US Dollars (excluding entry fee). For freerolls the buy-in is \$0, and for FPP tournaments 1 FPP is counted as \$0.0161. If the tournament is not a US Dollar tournament, the buy-in will be converted to US Dollars using the current exchange rate at the time the tournament begins.
The main questions I have are related to the square roots and logs. Why use them? Is this a fair ranking system considering the buy-in level, amount of entrants, etc? Could it be improved?

If anyone has the time to break it down and explain the weights and such, I'll be forever grateful, and give you a custom title if ya dig.