The Gaussian-School of Higher-Arithmetic (1831, updated 2022); tutorial #21 page 5.

The Arithmetic of Clocks, page 5.

Every circle on the surface of this double ended infinite exponential progression of numerical magnitude has a simple relationship with the equivalent flat (finger counting) numbers that we are so used to. Here I show how #2 maps to #7.389..., #1 maps to #e, #0 maps to #1 and of course #(-1) maps to #0.3678... This is just a simple geometric series of the circle's relative numerical magnitudes. Whether I say "logarithmic number",  "exponential number", "exponent" or "exponential index", we need to understand that the four terms all mean the exactly the same thing, it is confusing to have four different names for exactly the same number, but please try not be confused.