Logarithmic Functions

Learning Objectives

• Graph logarithmic functions and transformations of these.

• State the domain and range of a function involving logarithms.

• Identify the vertical asymptote of a logarithmic function using limit notation.

• Convert between the exponential and logarithmic forms of an equation.

• Demonstrate and utilize the inverse relationship between an exponential function and a logarithmic function with the same base.

• Use the change of base formula to convert a logarithmic expression from one base to another.

• Use properties of logarithms to simplify, expand, and combine expressions as directed.