Select a special mathematical function

Questions
1

Hello!

We have equation:

y*Sinh[A*Ln[y]+B] = x

Is there a special mathematical function for writing in the form y = F[x]?

2
Open in Wolfram Cloud ↗
3

You get explicit formulas for integer values for a:

With[{a = 3}, Solve[y*Sinh[a*Log[y] + b] == x, y]]

but they become more and more complicated as a increases. It seems unlikely that you can get a general formula.