L0garithmic Functions Chapter5Section2. Logarithmic Function  Recall in Section 4.3 we talked about inverse functions. Since the exponential function.

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Presentation transcript:

L0garithmic Functions Chapter5Section2

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:

Definition of the Logarithmic Function Same bases Same exponents Logarithmic form Exponential form

Exponential vs. Logarithmic Form Logarithmic FormExponential Form log 2 x = y log 2 16 = y log 3 x = =100 b 3 =64 a 0 = 1 a 1 = a Use the definition of a logarithm to fill in the missing form.

Example 2

Graphs of Logarithmic Functions

Common vs. Natural Logarithms  There are two bases used on your calculator. These are the common (base 10) and the natural (base e).

Richter Scale Example 3

Example 4

Logarithmic Properties

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