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Learn how to work with logarithmic properties, write logarithmic expressions as sums or differences, and evaluate logarithms with bases other than 10 or e. Also, explore exponential and logarithmic models and use the change of base formula.
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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
Write the following expression as the sum and/or difference of logarithms. Express all powers as factors.
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.
The following data represent the amount of carbon emissions in millions of metric tons:
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.