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2. Error Analysis. Please complete the following parts in sequential order. a. Solve 2 log4(x-3) + log4 (9) = 2. Show all algebraic steps. You should get a unique solution of x = fx=13. b. Analyze the student work in the table below. Clearly identify any errors you see in each solution and describe how they could fix them. Keep in mind that just because a step doesn't match what you would have done, doesn't mean it is a mistake. Student A Student B Student C 2 log4(x-3) + log₁ (9) = 2 2 log4(x-3) + log4 (9) = 2 2 log4(x-3) + log4 (9) = 2 2 log4(x-3) + 1.6=2 2log4 (9(x-3)) = 2 log4(9(x-3)) = 1 log4(x² - 6x +9) + log4 (9) = 2 2 log4(x-3) = 0.4 log4(x² - 6x +18) = 2 log4(x² - 6x + 9) = 0.4 9(x-3) 14 x² - 6x +18= 4² x² - 6x +9= 40.4 x-3= x² + 6x + 2 = 0 x² - 6x +7.3=0 28 x= -5.65 and x = -0.35 x=9 x 1.7 and x = 4.3

2. Error Analysis. Please complete the following parts in sequential order. a. Solve 2 log4(x-3) + log4 (9) = 2. Show all algebraic steps. You should get a unique solution of x = fx=13. b. Analyze the student work in the table below. Clearly identify any errors you see in each solution and describe how they could fix them. Keep in mind that just because a step doesn't match what you would have done, doesn't mean it is a mistake. Student A Student B Student C 2 log4(x-3) + log₁ (9) = 2 2 log4(x-3) + log4 (9) = 2 2 log4(x-3) + log4 (9) = 2 2 log4(x-3) + 1.6=2 2log4 (9(x-3)) = 2 log4(9(x-3)) = 1 log4(x² - 6x +9) + log4 (9) = 2 2 log4(x-3) = 0.4 log4(x² - 6x +18) = 2 log4(x² - 6x + 9) = 0.4 9(x-3) 14 x² - 6x +18= 4² x² - 6x +9= 40.4 x-3= x² + 6x + 2 = 0 x² - 6x +7.3=0 28 x= -5.65 and x = -0.35 x=9 x 1.7 and x = 4.3

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Error Analysis. Please complete the following parts in sequential order. a. Solve 2 log4(x-3) + log4 (9) = 2. Show all algebraic steps. You should get a unique solution of x = fx=13³. b. Analyze the student work in the table below. Clearly identify any errors you see in each solution and describe how they could fix them. Keep in mind that just because a step doesn't match what you would have done, doesn't mean it is a mistake. Student A Student B Student C 2 log4(x-3) + log₁ (9) = 2 2 log4(x-3) + log4 (9) = 2 2 log4(x-3) + log4 (9) = 2 2 log4(x-3) + 1.6=2 2log4 (9(x-3)) = 2 log4(9(x-3)) = 1 log4(x² - 6x +9) + log4 (9) = 2 2 log4(x-3) = 0.4 log4(x² - 6x +18) = 2 log4(x² - 6x + 9) = 0.4 9(x-3) = 14 x² - 6x +18= 4² x² - 6x + 9 = 40.4 x-3= x² + 6x + 2 = 0 x² - 6x +7.3=0 x-5.65 and x = -0.35 x 1.7 and x = 4.3 679 28 x=9
Transcribed Image Text:2. Error Analysis. Please complete the following parts in sequential order. a. Solve 2 log4(x-3) + log4 (9) = 2. Show all algebraic steps. You should get a unique solution of x = fx=13³. b. Analyze the student work in the table below. Clearly identify any errors you see in each solution and describe how they could fix them. Keep in mind that just because a step doesn't match what you would have done, doesn't mean it is a mistake. Student A Student B Student C 2 log4(x-3) + log₁ (9) = 2 2 log4(x-3) + log4 (9) = 2 2 log4(x-3) + log4 (9) = 2 2 log4(x-3) + 1.6=2 2log4 (9(x-3)) = 2 log4(9(x-3)) = 1 log4(x² - 6x +9) + log4 (9) = 2 2 log4(x-3) = 0.4 log4(x² - 6x +18) = 2 log4(x² - 6x + 9) = 0.4 9(x-3) = 14 x² - 6x +18= 4² x² - 6x + 9 = 40.4 x-3= x² + 6x + 2 = 0 x² - 6x +7.3=0 x-5.65 and x = -0.35 x 1.7 and x = 4.3 679 28 x=9
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