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6.3 Logarithmic Functions

6.3 Logarithmic Functions. Change exponential expression into an equivalent logarithmic expression. Change logarithmic expression into an equivalent exponential expression. Domain of logarithmic function = Range of exponential function =.

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6.3 Logarithmic Functions

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  1. 6.3Logarithmic Functions

  2. Change exponential expression into an equivalent logarithmic expression. Change logarithmic expression into an equivalent exponential expression.

  3. Domain of logarithmic function = Range of exponential function = Range of logarithmic function = Domain of exponential function =

  4. y = x (0, 1) (1, 0)

  5. y = x (0, 1) (1, 0) a > 1

  6. Properties of the Graph of a Logarithmic Function 1. The x-intercept of the graph is 1. There is no y-intercept. 2. The y-axis is a vertical asymptote of the graph. 3. A logarithmic function is decreasing if 0 < a < 1 and increasing if a > 1. 4. The graph is smooth and continuous, with no corners or gaps.

  7. The Natural Logarithm

  8. (e, 1) (1, 0)

  9. x = 3 (e + 3, 1) (4, 0)

  10. The Common Logarithmic Function (base=10)

  11. Logarithmic Equations

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