PDF Properties of Logarithms Worksheet - VealeyMath I) Model Problems For any positive numbers X, Y and N and any positive base b, the following formulas are true: log b X N = N • log b X Power Rule for Logarithms log b X Y § ©¨ · ¹¸ = log b X - log b Y Quotient Rule for Logarithms log b (XY) = logb X + log b Y Product Rule for Logarithms The following examples show how to expand logarithmic expressions using each of the