1. Sullivan Algebra and Trigonometry: Section 6.4 Objectives of this Section Work With the Properties of Logarithms Write a Log Expression as a Sum or Difference of Logarithms Write a Log Expression as a Single Logarithm Evaluate Logarithms Whose Base is Neither 10 nor e Work with Exponential and Logarithmic Models

2. Properties of Logarithms

3. Write the following expression as the sum and/or difference of logarithms. Express all powers as factors.

4. Write the following expression as a single logarithm.

5. Most calculators only evaluate logarithmic functions with base 10 or base e. To evaluate logs with other bases, we use the change of base formula.

6. The following data represent the amount of carbon emissions in millions of metric tons:

7. a. Draw a scatter diagram of the data set. b. Using the LnReg function on your graphing calculator, find the logarithmic function of best fit. c. Predict the carbon emissions for the year 2000.