How to use the power rule for logarithms.
How we define power functions, and which of our parent functions belong to this family.
How we identify odd power functions and even power functions.
How to use the power reduction formulas to derive the half-angle formulas.
How to define an exponential function.
How to raise a complex number to an integer power using DeMoivre's Theorem.
How to evaluate logarithms when the argument is a recognizable power of the base.