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Intermediate Algebra – Student Workbook – Second Edition 2013

Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 4a <strong>–</strong> Introduction to Logarithms<br />

Logarithms are really exponents in disguise and hopefully you will have that understanding after<br />

you complete this lesson. You will start by working with the LOG button on your calculator and<br />

then building an understanding of logarithms as exponents. You will learn how to read and<br />

interpret logarithms and how to compute with base 10 and other bases as well.<br />

Prior to solving logarithmic equations, you will learn about changing back and forth form<br />

logarithmic to exponential forms. The section titled, “Why do we care about Logarithms” will<br />

give you some practical foundation in their use as a scaling tool.<br />

Finally, you will use what you learned about changing forms to solve logarithmic equations. Pay<br />

close attention to the idea of exact form vs. approximate form for solutions.<br />

Lesson Objectives:<br />

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

2. Read and interpret LOGARITHMS<br />

3. Compute LOGARITHMS with base 10 (Common Logarithms)<br />

4. Compute LOGARITHMS with bases other than 10<br />

5. Change an equation from LOGARITHMIC FORM to EXPONENTIAL FORM and<br />

vice versa<br />

6. Discuss LOGARITHMS as a scaling tool<br />

7. Solve LOGARITHMIC EQUATIONS by changing to EXPONENTIAL FORM<br />

8. Determine EXACT FORM and APPROXIMATE FORM solutions for<br />

LOGARITHMIC EQUATIONS<br />

Scottsdale Community College Page 143 <strong>Intermediate</strong> <strong>Algebra</strong>

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