Let p be an odd prime and r a primitive root of p. Show that if a and b are positive integers in ZP then logr(ab) ? logr a + logr b (mod p ? 1).

Chapter 1: Sections 1-6 1.1 What is a Function A function is a rule that takes certain numbers as inputs and assigns to each a definite output number. Domain: the set of all input numbers Range: the set of all output numbers Independent Variable: input Dependent Variable: output Interval Notation: Closed Intervals: a ⦤ t ⦤b and is written [a,b] Open Intervals: a < t < b and is written (a,b) A mathematical model is a mathematical description of a real situation. Increasing and Decreasing Functions: A function is increasing if the values of f(x) increase as x increases A function is decreasing if the values of f(x) decrease as x increases 1.2 Linear Functions A linear function has a graph that has a straight line. Slope= ri