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10-2 Logarithms and Logarithmic Functions

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1 10-2 Logarithms and Logarithmic Functions
Objective: To write exponential equations in logarithmic form and vice versa. To evaluate logarithmic expressions. To solve equations and inequalities involving logarithmic functions.

2 A logarithm is a power.

3 Simply put a logarithm is a question:
This is asking 3 to what power is 81? So the answer is …

4 Exponential Form Logarithmic Form So in logb N = k, b and N cannot be negative.

5 Shortcuts

6 Shortcuts: Slide and Switch

7 Example 1 Write in exponential form: a) b) c)

8 Example 2 Write in logarithmic form: a) b) c)

9 Example 3 a)

10 Example 3 b)

11 Example 3 c)

12 Example 4 Solve a)

13 Example 4 Solve b)

14 Assignment 10-2 pg 609 #22-44 even


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