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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 />

Mini-Lesson<br />

What do the outputs from Problem 1 really represent? Where are the EXPONENTS that were<br />

mentioned previously? Let’s continue with the example and see where we end up.<br />

Problem 2 MEDIA EXAMPLE <strong>–</strong> LOGARITHMS AS EXPONENTS<br />

x ( ) ( )<br />

1 0<br />

10 1<br />

100 2<br />

1000 3<br />

10000 4<br />

100000 5<br />

Reading and Interpreting Logarithms<br />

Read this as “Log, to the BASE b, of x, equals y”<br />

This statement is true if and only if<br />

Meaning:<br />

The logarithm (output of ) is the EXPONENT on the base, b, that will give you input x.<br />

Note: The Problem 2 logarithm is called a COMMON LOGARITHM because the base is<br />

understood to be 10. When there is no base value written, you can assume the base = 10.<br />

Scottsdale Community College Page 146 <strong>Intermediate</strong> <strong>Algebra</strong>

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