As one shape of a curve; in a notebook that demonstrates multiple methods of curve fitting with and without a logarithmic transform.

Logarithm: https://simple.wikipedia.org/wiki/Logarithm ;
https://en.wikipedia.org/wiki/Logarithm :

> In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

List of logarithmic identities:
https://en.wikipedia.org/wiki/List_of_logarithmic_identities

List of integrals of logarithmic functions:
https://en.wikipedia.org/wiki/List_of_integrals_of_logarithm...

As functions in a math library or a CAS that should implement the correct axioms correctly:

Sympy Docs > Functions > Contents:
https://docs.sympy.org/latest/modules/functions/index.html#c...

sympy.functions.elementary.exponential. log(x, base=e) == log(x)/log(e), exp(), LambertW(), exp_polar()
https://docs.sympy.org/latest/modules/functions/elementary.h...

"Exponential, Logarithmic and Trigonometric Integrals"
sympy.functions.special.error_functions. Ei: exponential integral, li: logarithmic integral, Li: offset logarithmic integral
https://docs.sympy.org/latest/modules/functions/special.html...

numpy.log. log() base e, log2(), log10(), log1p(x) == log(1 + x)
https://numpy.org/doc/stable/reference/generated/numpy.log.h...

numpy.exp. exp(), expm1(x) == exp(x) - 1, exp2(x) == 2*x
https://numpy.org/doc/stable/reference/generated/numpy.exp.h...

Khan Academy > Algebra 2 > Unit: Logarithms:
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:...

Khan Academy > Algebra (all content) > Unit: Exponential & logarithmic functions
https://www.khanacademy.org/math/algebra-home/alg-exp-and-lo...

3blue1brown: "Logarithm Fundamentals | Lockdown math ep. 6", "What makes the natural log "natural"? | Lockdown math ep. 7" https://www.youtube.com/playlist?list=PLZHQObOWTQDP5CVelJJ1b...

Feynmann Lectures 22-6: Algebra > Imaginary Exponents:
https://www.feynmanlectures.caltech.edu/I_22.html#Ch22-S6

Power law functions: https://en.wikipedia.org/wiki/Power_law#Power-law_functions

In a two-body problem,
of the 4-5 fundamental interactions: Gravity, Electroweak interaction, Strong interaction, Higgs interaction, a fifth force; which have constant exponential terms in their symbolic field descriptions?
https://en.wikipedia.org/wiki/Fundamental_interaction#The_in...

Natural logs in natural systems:

Growth curve (biology) > Exponential growth:
https://en.wikipedia.org/wiki/Growth_curve_(biology)#Exponen...

Basic reproduction number:
https://en.wikipedia.org/wiki/Basic_reproduction_number

(... Growth hacking; awesome-grwoth-hacking: https://github.com/bekatom/awesome-growth-hacking )

Metcalf's law: https://en.wikipedia.org/wiki/Metcalfe%27s_law

Moore's law; doubling time: https://en.wikipedia.org/wiki/Moore's_law

A block reward halving is a doubling of difficulty. What block reward difficulty schedule would be a sufficient inverse of Moore's law?

A few queries:

logarithm cheatsheet
https://www.google.com/search?q=logarithm+cheatsheet

logarithm on pinterest
https://www.pinterest.com/search/pins/?q=logarithm

logarithm common core worksheet
https://www.google.com/search?q=logarithm+common+core+worksh...

logarithm common core autograded exercise (... Khan Academy randomizes from a parametrized (?) test bank for unlimited retakes for Mastery Learning)
https://www.google.com/search?q=logarithm+common+core+autogr...