As you may have noted in introduction to logarithms, the logarithm of a number x with respect to a base b is the exponent y to which b is raised to. We use this property to express the rules of exponents in terms of logarithms.

Learning Objectives:

• Rules of Logarithms
• Prove Rules of Logarithms
• Use rules to expand logarithm of an expression
• Use rules to rewrite a given expression containing multiple logarithms as an expression containing only one logarithm.
• Learn and apply Change of Base Formula for both logarithms and exponential functions