Logarithmic Functions

1
Logarithmic Functions

• Section 3.2

2
Objectives

• Rewrite an exponential equation in logarithmic
  form.
• Rewrite a logarithmic equation in exponential
  form.
• Evaluate a simple logarithmic expression.
• Find a missing piece of a logarithmic equation
  given all the other pieces.
• Find the equation of a logarithmic function given
  a point.
• Graph a logarithmic function.
• Determine the transformation of a logarithmic
  function.
• State the domain and range of a logarithmic
  function.

3
Vocabulary

• logarithmic function
• base of a logarithmic function
• logarithmic form
• exponential form
• common logarithm
• natural logarithm

4
Find the inverse of the function f
5
Formula

• basic logarithmic function

where a gt 0 and a ? 1
6
Express each equation in logarithmic form.
7
Express each equation in exponential form.
8
Graph the function
What it the domain of the function? What is the
range of the function? What is(are) the
x-intercepts? What is(are) the y-intercepts?
9

• Evaluate the following

10

• Evaluate the following

11

• Solve for x.

12
Find the domain and range of
13
Properties of Logarithms