Here’s a way my students and I developed to help remember what goes where in logarithmic form.
Many of my students have found this really helps them remember logarithmic notation!!
While this memory device is no substitute for understanding conceptually how logarithms work, it is very useful to be able to remember how to “rearrange the furniture” to change an exponential equation into a logarithmic equation.
Maria Droujkova of Natural Math also has a great post on how you can use family trees to demonstrate how logarithms work.