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5.4 Logarithmic Functions. Quiz What’s the domain of f(x) = log x?

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5.4 Logarithmic Functions

5.4 Logarithmic FunctionsQuizWhats the domain of f(x) = log x?Logarithmic Functions Standard Form: Logax = y , a > 0, a 1Graphs of Logarithmic Functions:

Properties1. Domain: (0, )2. Range: (- , )3. Asymptote: y-axis is the vertical asymptote4. Key Points: (a, 1), (1, 0), and (a-1, -1)Find the Domain of the Functionsf(x) = log4(x - 3)g(x) = log(x2 - 9)h(x) = log5x + 1Graphs by transformationsh(x) = log2(x - 3)f(x) = lnx - 2Finding Inverse Functions of an Exponential Functionf(x) = -2x + 3g(x) = -10x + 4HomeworkPage 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