Some important things that need to be noted whilst completing problems of this particular field of study, are: remembering how these types of problems share the same structure, remembering how you find the asymptotes for logarithmic equations, and remembering the domain/range of logarithmic equations. First of all, the parent type function for these problems is log base b of (x minus h) plus k. Second of all, the asymptotes for logarithmic equations will always be x = h, and you can remember this specific rule with the phrase "The Log's Xylophone was Happy and Rich", where you derive x = h from "Xylophone was Happy". Lastly, the domain of logarithmic equations will always be restricted (unless there's no h value), and their ranges will never be restricted. This can also be remembered by the previously noted phrase, and is extracted from "Rich", in which the r proclaims that the range is to never be restricted. The end.
