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Learn to rewrite exponential equations in logarithmic form, evaluate expressions, graph functions, find missing pieces, and determine transformations. Discover the vocabulary, find inverses, and understand properties of logarithms.
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Logarithmic Functions Section 3.2
Objectives • Rewrite an exponential equation in logarithmic form. • Rewrite a logarithmic equation in exponential form. • Evaluate a simple logarithmic expression. • Find a missing piece of a logarithmic equation given all the other pieces. • Find the equation of a logarithmic function given a point. • Graph a logarithmic function. • Determine the transformation of a logarithmic function. • State the domain and range of a logarithmic function.
Vocabulary • logarithmic function • base of a logarithmic function • logarithmic form • exponential form • common logarithm • natural logarithm
Formula • basic logarithmic function where a > 0 and a≠ 1
Graph the function What it the domain of the function? What is the range of the function? What is(are) the x-intercepts? What is(are) the y-intercepts?