I would treat a Taylor series as "numeric trickery" that happens to produce useful approximations, in which case I wouldn't care about units. As for Log of a u

I would treat a Taylor series as "numeric trickery" that happens to produce useful approximations, in which case I wouldn't care about units. As for Log of a unit, if it is useful in some strange circumstance, would require a different unit to keep track of (like logkg), similarly to i (the imaginary unit) being the result of sqrt(-1).