Linearizing Logarithmic Function

Question

I have a given set of data points (y,x) with uncertainties.

When I plot those points on a graph, the trendline appears to follow the equation y = c + a*ln(x).

I want to be able to find the uncertainty in "a".

So just like linearizing an exponential function $y=e^{ax}$ as $\text{ln}(y) = ax$, and we can get the uncertainty in "a" by graphing the minimum and maximum slopes and averaging it out,

Is there a way to linearize a logarithmic function $y=a \text{ln}(x)$ ?

Thank you.

EDIT: Link to duplicate answer in comments.

Answer 1

$$y = a \ln x \implies e^{y/a} = x $$