I recently learned that there is a term for taking a function and raising a constant (almost exclusively $e$ in the scope of my studies) to the power of that function.
i.e., $\ln x = -kt$ can be written $x = e^{-kt}$ and the process of raising $e$ to the power of $-kt$ is called exponentiation.
I was wondering if there was a similar term that was a descriptive alternative to saying "taking the logarithm."
i.e., $x = e^{-kt}$ can be written as $\ln x = \ln e^{-kt} = -kt$, and I was wondering if there was a one-word name that replaced "taking the logarithm."
"Logarithming" sounds like some sort of bad competition where you carve wooden logs or something, but everyone somewhat mathematically inclined would most likely understand that you mean "taking the logarithm" with this.
On that note; what I always use myself is what you said yourself, namely "taking the logarithm" or "taking the log of". For me personally I don't see this as a problem, but if you actually do want to call it something else I guess you could call it "inverse exponentiation" or something like that, which is correct but not really easier to say than "taking the log of". Or you can start using "logarithming" which will probably raise some eyebrows at first.