This video goes over the add-add, add-multiply, multiply-multiply, and constant second difference rule for identifying whether a function is linear, exponential, power function, or a quadratic. The multiply-add rule for logarithms is not gone over in this particular video.

I like Khan Academy's section on Logarithms. This page contains videos and practice problems the basics of logarithms, properties of logarithms, and how to solve equations with logarithms in them. (And how to solve exponential equations with logarithms).