Least Squares Fitting--Logarithmic

Given a function of the form

$$y=a+b\ln x,$$ (1)

the Coefficients can be found from Least Squares Fitting as

$$b = {n\sum(y\ln x)-\sum y\sum(\ln x)\over n\sum[(\ln x)^2]-\left[{\sum(\ln x)}\right)^2}$$ (2)

$$a = {\sum y-b\sum(\ln x)\over n}.$$ (3)

See also Least Squares Fitting, Least Squares Fitting--Exponential, Least Squares Fitting--Power Law