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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.”.

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Logarithmic function - definition

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  1. 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 . Logarithmic function - definition

  2. 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 ... • Example 4: Evaluate the expression • Since 2 raised to the 3 power is 8, the answer is 3. Logarithmic function - definition “b raised to what power yields c?” Slide 2

  3. Example 5: Evaluate the expression • Since the answer is - 3. • Example 6: Evaluate the following expressions: Expression Work Answer Logarithmic function - definition 1 0 x Slide 3

  4. Logarithmic function - definition END OF PRESENTATION Click to rerun the slideshow.

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