Wetzel

Math 110

4.3 – Logarithmic Functions

Logarithms –

            Review – Given the exponential function, , find its inverse function.

            Exponential Form -                  

            Logarithmic Form -                          where x > 0 and base,

            Definition –

                        “What power do I raise my base, b, to in order to get x?”

            Graph –

Ex.:  Convert to Exponential Form.

1.)                                     2.) 

Convert to Logarithmic Form.

3.)                                         4.) 

Properties of Logs –

·       

·       

·       

·       

Ex.:  Evaluate without a calculator.

5.)                                          6.)                   

7.)                                        8.) 

Common Log –

            A log with base 10 normally written as

Natural Log –

            A log with base e normally written as

HW:     6^th Ed.  p.400 #1-9odd, 13-21odd, 25-33odd, 51-55odd, 73

            5^th Ed.  p.391 #1-29odd, 39-43odd, 57