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Intermediate Algebra – Student Workbook – Second Edition 2013

Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 4b <strong>–</strong> More on Logarithms<br />

This lesson will begin with a review of exponential and logarithmic forms for equations, as we<br />

will switch back and forth from one form to the other when solving equations.<br />

You will learn the all-important “change of base formula” next. This formula allows you to<br />

easily compute logarithms that have bases other than 10 and use your calculator to do so.<br />

The lesson will end with an exploration of the graph of logarithmic functions and their<br />

characteristics followed by modeling of data sets with Logarithmic Regression.<br />

This lesson ends our tour of logarithms and exponential functions as we will next be moving on<br />

to quadratic functions.<br />

Lesson Objectives<br />

By the end of this lesson, you should be able to:<br />

1. Discuss the concept of LOGARITHMS as EXPONENTS<br />

2. Compute LOGARITHMS of bases other than 10<br />

3. Compute LOGARITHMS using the CHANGE OF BASE formula and a calculator<br />

4. Solve EXPONENTIAL EQUATIONS algebraically and graphically<br />

5. Graph f(x) = log b x and identify important characteristics<br />

6. Determine if a given data set can be well modeled by a LOGARITHMIC FUNCTION<br />

7. Use LOGARITHMIC REGRESSION (natural logarithm) to model a given data set<br />

Scottsdale Community College Page 161 <strong>Intermediate</strong> <strong>Algebra</strong>

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