Wetzel

Math 110

4.4 – Properties of Logarithms

Properties –

            Product –

            Quotient –

            Power –

            One to one –

                                       implies  

                        likewise,

                                      implies  

Ex.:  Expand the given logarithmic expressions.

1.)                 2.)                   3.) 

Write each expression as a single logarithm with a coefficient of 1.

4.)                       5.) 

Change of Base Theorem –      Changing a log from base b to base a.

                                  Generally,

Ex.:  Round to the nearest ten thousandth.

6.)                   7.)                     8.) 

HW:     6^th Ed.  p.413 #1-7odd, 17-21odd, 33-39odd, 45-55odd

            5^th Ed.  p.403 #1-33odd