How do i estimate an equation of best fit of a sort-of exponential equation given it's points?

Question

There is an unnessarly long table of values of an item in a game that grants experience to a player based on one's level in the chosen skill. I think it would be much more appropriate to cite the equation of the relationship between exp and level, but i don't know how. It does not appear to be exponential, but it has a similar characteristic of starting low and raising over time. The table of values can be found here. Any help would be appreciated.

Answer 1

Here's an exponential fit I did by hand using trial and error:

So it seems the data is more closely described by an exponential than you thought. There are three significant deviations. The value $3770$ at $76$ seems to be a typo; the two values around $50$ may be wrong or adjusted by hand; and it seems that the initial values up to around $15$ were adjusted by hand. So you may want to remove those values and do a standard exponential fit to the rest of the data.