Right, but then log (2 apple) = log 2 + log apple and so forth. This is a perfectly sensible way to think about things as long as you (not you specifically, but the general you) remember that “log apple” transforms additively instead of multiplicatively under a change of coordinates.
I think it’d be obvious how to take the log of a dimensional quantity.
e^(log apple) = apple
Right, but then log (2 apple) = log 2 + log apple and so forth. This is a perfectly sensible way to think about things as long as you (not you specifically, but the general you) remember that “log apple” transforms additively instead of multiplicatively under a change of coordinates.