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’s all the fuss? Exact form? Approximate Form? Why does it matter? If you wanted to approximate the fraction , what would you say? Probably that is about .3, right? But what does ACTUALLY equal? Well, it equals .33333333333 repeating forever. Any number of decimals that we round to in order to represent is an APPROXIMATION. The only EXACT representation of is . So what difference does this make? Suppose you wanted to compute 4 1 3 . Look at the following computations to as many decimals as we can. 4 1 3 = 4^(1/3) on your calculator = 1.587401052 4 .3 = 4^.3 on your calculator = 1.515716567 The final computation results are not the same but they are pretty close depending on where we would round the final resul. Which one is more accurate? The 4 1 3 is more accurate because we used EXACT form for 1 3 . What happens when the base of the exponential is much larger? Suppose you want to compute 1025 1 3 . 1025 1 3 = 1025^(1/3) = 10.08264838 1025 .3 = 1025^(.3) = 8.002342949 These two results are quite a bit different and this type of behavior only gets worse as the numbers you are working with get larger. So, remember, if you are asked to compute a result to EXACT form, do not round any computation in your solution process until the very end. Scottsdale Community College Page 154 Intermediate Algebra
Name: _____________________ Date: ________________ Lesson 4a Practice Problems 1. Locate the LOG button on your calculator. Use it to fill in the missing values in the input/output table. When you use your calculator, remember to close parentheses after your input value. x Function y (x,y) a) 5 log(x) b) 3 4log(x) c) 2 log(x) 4 d) 6 log(x)/log(2) 2. 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 Scottsdale Community College Page 155 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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