I found another, a much easier way to solve the problem without using logarithms but still, I'd like to know how to take a log of a function.
What I mean is that, for example, if you have Y = aX then taking a log would look like this: ln(Y) = ln(a) + ln(X).
But if it's in the form I mentioned above (i.e., M is a function of k and r), how should I write it? I'm not trying to solve anything, just to express the supply function in a logarithmic form.
Until you explain what the notation means, I doubt anyone can help you.
eg. Does s(k,r) mean ....? I know it doesn't but this is what we all mean when we ask you what the notations(k,r) means. We expect to get something like that as an answer.
If s(k, r) represents some multivariable function of k and r, then the best that can be done is . If the functional form of s(k, r) is known then further progress might be possible.