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Graphing Logarithmic Functions Solving Simple Logarithmic Equations Basic Function: f(x) = In x To solve an exponential equation, change it to a logarithmic equation. Graph: Analysis: To solve a logarithmic equation, change it to an exponential equation. EX #4: Solve each equation by changing it to its exponential form. A. log x = 3 B. log2 x = 5 Natural Logarithms, Base e Transforming Logarithmic Graphs Notation: The logarithmic function loge x = In x Ex #7: Describe how to transform the graph of f (x) = In x or y = log x into the graph of the given EX #5: Evaluate the following logarithmic and exponential expressions. function. A. In Ve B. In e 5 C. eln 4 A. g(x) = In(x+ 2) B. h(x) = In(3 - x) Evaluating Natural Logarithms with a Calculator EX #6: Use a calculator to evaluate the logarithmic expressions. A. In 23.5 B. In 0.48 C. In(-5) Using Basic Properties for Natural Logarithms C. g(x) = 3logx D. h(x) = 1 + logx EX #7: Evaluate the natural logarithms below: A. In e7 B. eln 81 C. eln vox D. In 1