6 3 logarithmic functions
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6.3 Logarithmic Functions

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6.3 Logarithmic Functions - PowerPoint PPT Presentation


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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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slide3

Change exponential expression into an equivalent logarithmic expression.

Change logarithmic expression into an equivalent exponential expression.

slide4

Domain of logarithmic function = Range of exponential function =

Range of logarithmic function = Domain of exponential function =

slide5

y = x

(0, 1)

(1, 0)

slide6

y = x

(0, 1)

(1, 0)

a > 1

slide7

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.

slide10

(e, 1)

(1, 0)

slide11

x = 3

(e + 3, 1)

(4, 0)

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