ProfessorElvisZap teaches you about the laws of logarithms. When x is positive, meaning 0<x. x times y equals y times x. This is the commutative property. x times (y times z) equals (x times y) times z. This is the associative property. x times 1 equals x. This is the multiplicative property. x times x to the power of -1 equals 1. This is the multiplicative inverse property. You can use these properties with addition: a+b=b+a, (a+b)+c=a+(b+c), a+0=a and a+(-a)=0. A logarithm is a homomorphism. Follow the rest of the instructions to get a more in depth look at the laws of logarithms.