mac 1105 section 4.3 logarithmic functions. the inverse of a exponential function

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MAC 1105 Section 4.3 Logarithmic Functions

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Page 1: MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function

MAC 1105Section 4.3Logarithmic Functions

Page 2: MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function

The Inverse of a Exponential Function

Page 3: MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function

Logarithmic Functions

Page 4: MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function

Example 1: Write each exponential equation in logarithmic form.

Example 2: Write each logarithmic equation in exponential form.

Page 5: MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function

Evaluating Logarithms

Page 6: MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function
Page 7: MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function

Basic Properties of Logarithms

Page 8: MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function

Graphs of Logarithmic Functions

Page 9: MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function

Example 6: Graph the following graphs.

Page 10: MAC 1105 Section 4.3 Logarithmic Functions. The Inverse of a Exponential Function

Special Logs Common Log

This a logarithm with base 10. If no base is indicated, we assume base 10. We can find the common log of any positive

number on the calculator.

Natural Log This a logarithm with base e. This is denoted as ln We can find the natural log of any positive

number on the calculator as well.