This is extremely common in mathematics: To do something in domain A, convert to domain B, do it there, and convert back to domain A. Example: a*b = exp(log(a)

This is extremely common in mathematics: To do something in domain A, convert to domain B, do it there, and convert back to domain A. Example: a*b = exp(log(a)+log(b)). There are many diagrams in math fields that show exactly this.