Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 4a – Introduction to Logarithms Mini-Lesson What do the outputs from Problem 1 really represent? Where are the EXPONENTS that were mentioned previously? Let’s continue with the example and see where we end up. Problem 2 MEDIA EXAMPLE – LOGARITHMS AS EXPONENTS x ( ) ( ) 1 0 10 1 100 2 1000 3 10000 4 100000 5 Reading and Interpreting Logarithms Read this as “Log, to the BASE b, of x, equals y” This statement is true if and only if Meaning: The logarithm (output of ) is the EXPONENT on the base, b, that will give you input x. Note: The Problem 2 logarithm is called a COMMON LOGARITHM because the base is understood to be 10. When there is no base value written, you can assume the base = 10. Scottsdale Community College Page 146 Intermediate Algebra
Lesson 4a – Introduction to Logarithms Mini-Lesson Let’s see how this works with other examples. The base can be almost any number but has some limitations. The base, b, should be bigger than 0 and not equal to 1. Problem 3 MEDIA EXAMPLE – COMPUTE LOGARITHMS WITH BASES OTHER THAN 10 Compute each of the following logarithms and verify your result with an exponential “because” statement. a) because b) because c) because d) because e) √ because f) because Reminder: THE NTH ROOT OF a n a 1 n a , the nth root of a. The number a, called the radicand, must be nonnegative if n, called the index, is even. So, for part e) of the problem above this means that 3 = 3 1 2 . Scottsdale Community College Page 147 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 1b - Linear Equations In the
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Lesson 1b - Linear Equations Mini-L
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Lesson 6b - Rational Exponents and
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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