exponential and logs smartboard period 3.notebook October 21, 2015 D: Inverse Properties of Logarithms For b > 0 and b ≠ 1: Examples: Evaluate 1) 2) 3) 4) 5) 6) E: Graphing Logarithmic Functions Graph and coordinate system. in the same rectangular 1 exponential and logs smartboard period 3.notebook October 21, 2015 F: Characteristics of Exponential Functions 1) Domain of Range of : : 2) The graph of logarithmic functions of the form pass through the point ______ because _________________ _________________________________________________ 3) If b > 1, then function. 4) If 0< b < 1, then function. is an increasing/decreasing is an increasing/decreasing 5) ______________ is a vertical asymptote. G: Domain of Logarithmic Functions Find the domain of the following functions: 1) 2) 2 exponential and logs smartboard period 3.notebook October 21, 2015 H: Natural logarithms Natural logarithmic function: or Find the domain of the following functions. 1) 2) I: Properties of Natural Logarithms a) b) c) d) Simplify: 1) 2) 4) 5) 3) 3 exponential and logs smartboard period 3.notebook October 21, 2015 Lesson 3: Properties of Logarithms A: Product Rule Let b, M and N be positive real number with b ≠ 1. Use the product rule to expand each logarithmic expression. 1) 2) 3) 4) 4 exponential and logs smartboard period 3.notebook October 21, 2015 B: Quotient Rule Let b, M and N be positive real number with b ≠ 1. Use the quotient rule to expand each logarithmic expression. 1) 2) 3) C: Power Rule Let b and M be positive real number with b ≠ 1, and let p be any real number. Use the power rule to expand each logarithmic expression. 1) 2) 3) 4) 5) 6) 5 exponential and logs smartboard period 3.notebook October 21, 2015 D: Expanding Logarithmic Expressions Use logarithmic properties to expand each expression as much as possible. a) b) c) d) 5) 6) 7) 8) 6 exponential and logs smartboard period 3.notebook October 21, 2015 E: Condensing Logarithmic Expressions Write each as a single logarithm. a) b) ` c) d) 7

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