among the elementary function sets:
- Polynomial
- Trigonometric function
- Exponential Function
- Hyperbolic Function
I don't see the development of algebraic identities, and then the detailed construction of various problems of solving equations, proving identities and simplification for any of their inverse algebras except for the exponentials, in the case of logarithms.
What makes logarithms more deserving of this treatment than say, the inverse hyperbolics?
I read on wikipedia and actually found some obscure, but few inverse hyperbolic algebraic identities, same for trig. But I've never seen an algebra problem on them, especially in standardised tests, whereas everybody is familiar with logarithmic algebra.
Why is it that out of the set of elementary functions, logarithmic algebra occupies a special place out of all the elementary inverse algebras?