I have a few datapoints (x and y) that seem to have a logarithmic relationship.
> mydata
x y
1 0 123
2 2 116
3 4 113
4 15 100
5 48 87
6 75 84
Check this document out: http://cran.r-project.org/doc/contrib/Ricci-distributions-en.pdf
In brief, first you need to decide on the model to fit onto your data (e.g., exponential) and then estimate its parameters.
Here are some widely used distributions: http://www.itl.nist.gov/div898/handbook/eda/section3/eda366.htm