1. Table of Contents Logarithmic function - definition The logarithmic function is given by where: and Example 1: The function is a logarithmic function with base 3, and is equivalent to. To remember this pattern, just think of moving the base 3 under the “y” and remove the “log.” Example 2: The function is a logarithmic function with base 10, and is equivalent to.

2. Table of Contents Slide 2 Logarithmic function - definition Example 3: The equation does not represent a logarithmic function, since b = -5 < 0. The evaluation of a logarithmic expression follows the pattern of the definition. To evaluate think of the equation, which has the alternate form. Finding the value of y translates into asking the question... “b raised to what power yields c?” Example 4: Evaluate the expression Since 2 raised to the 3 power is 8, the answer is 3.

3. Table of Contents Slide 3 Logarithmic function - definition Example 5: Evaluate the expression Sincethe answer is - 3. Example 6: Evaluate the following expressions: Expression WorkAnswer 1 0 x

4. Table of Contents Logarithmic function - definition