1. 5.4 Logarithmic Functions

2. Quiz What’s the domain of f(x) = log x?

3. Logarithmic Functions Standard Form: Log a x = y, a > 0, a ≠ 1 Graphs of Logarithmic Functions:

4. Properties 1. Domain: (0, ∞) 2. Range: (- ∞, ∞) 3. Asymptote: y-axis is the vertical asymptote 4. Key Points: (a, 1), (1, 0), and (a -1, -1)

5. Find the Domain of the Functions f(x) = log 4 (x - 3) g(x) = log(x 2 - 9) h(x) = log 5 x + 1

6. Graphs by transformations h(x) = log 2 (x - 3) f(x) = lnx - 2

7. Finding Inverse Functions of an Exponential Function f(x) = -2 x + 3 g(x) = -10 x + 4

8. Homework Page 358: 1, 5, 9-18(M3), 33, 36, 39, 45, 54, 57, 62, 66, 67 KEY: 18, 45, 57, 66 Reading: 5.5 Exponential and Logarithmic Equations and Inequalities