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L0garithmic Functions Chapter5Section2 Slide 2 Logarithmic Function Recall in Section 4.3 we talked about inverse functions. Since the exponential function is one-to-one, it has an inverse function: Slide 3 Definition of the Logarithmic Function Same bases Same exponents Logarithmic form Exponential form Slide 4 Exponential vs. Logarithmic Form Logarithmic FormExponential Form log 2 x = y log 2 16 = y log 3 x = 2 10 2 =100 b 3 =64 a 0 = 1 a 1 = a Use the definition of a logarithm to fill in the missing form. Slide 5 Example 2 Slide 6 Graphs of Logarithmic Functions Slide 7 Common vs. Natural Logarithms There are two bases used on your calculator. These are the common (base 10) and the natural (base e). Slide 8 Richter Scale Example 3 Slide 9 Example 4 Slide 10 Logarithmic Properties Slide 11