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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![**Logarithmic Equations Practice**
Solve the following logarithmic equations:
1. \( \log_4 (x - 2) = 1 \)
2. \( \log_5 (x - 3) = 1 \)
3. \( \log_6 (x + 3) = 1 \)
4. \( \log_3 (x - 8) = 3 \)
5. \( \log_7 (x + 6) = 2 \)
6. \( \log_2 (x - 4) = -3 \)
Options:
- [A] \( \frac{33}{8} \)
- [B] 2
- [C] 13
- [D] \( \frac{31}{8} \)
7. \( \log_3 (x - 2) = -1 \)
Options:
- [A] \( \frac{11}{5} \)
- [B] 1
- [C] \( -\frac{9}{5} \)
- [D] 5
8. \( \log_5 (x - 3) = -1 \)
Options:
- [A] 2
- [B] \( \frac{10}{3} \)
- [C] \( \frac{8}{3} \)
- [D] 9
9. \( \log_2 (x + 8) = -3 \)
Options:
- [A] 1
- [B] \( \frac{65}{8} \)
- [C] \( \frac{1}{2048} \)
- [D] \( -\frac{63}{8} \)
10. \( \log_4 (x + 1) = -2 \)
Options:
- [A] \( -\frac{15}{16} \)
- [B] 15
- [C] \( \frac{17}{16} \)
- [D] \( \frac{1}{64} \)
**Note**: The problems above involve solving logarithmic equations for the variable \( x \). Each equation is set equal to a constant, requiring the use of properties of logarithms to find the solution. The](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c6a3dff-6729-485c-933e-bf615eefedb6%2Fe9b6973a-bbac-427e-a0db-971caf6c376d%2F5pcdypd9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Logarithmic Equations Practice**
Solve the following logarithmic equations:
1. \( \log_4 (x - 2) = 1 \)
2. \( \log_5 (x - 3) = 1 \)
3. \( \log_6 (x + 3) = 1 \)
4. \( \log_3 (x - 8) = 3 \)
5. \( \log_7 (x + 6) = 2 \)
6. \( \log_2 (x - 4) = -3 \)
Options:
- [A] \( \frac{33}{8} \)
- [B] 2
- [C] 13
- [D] \( \frac{31}{8} \)
7. \( \log_3 (x - 2) = -1 \)
Options:
- [A] \( \frac{11}{5} \)
- [B] 1
- [C] \( -\frac{9}{5} \)
- [D] 5
8. \( \log_5 (x - 3) = -1 \)
Options:
- [A] 2
- [B] \( \frac{10}{3} \)
- [C] \( \frac{8}{3} \)
- [D] 9
9. \( \log_2 (x + 8) = -3 \)
Options:
- [A] 1
- [B] \( \frac{65}{8} \)
- [C] \( \frac{1}{2048} \)
- [D] \( -\frac{63}{8} \)
10. \( \log_4 (x + 1) = -2 \)
Options:
- [A] \( -\frac{15}{16} \)
- [B] 15
- [C] \( \frac{17}{16} \)
- [D] \( \frac{1}{64} \)
**Note**: The problems above involve solving logarithmic equations for the variable \( x \). Each equation is set equal to a constant, requiring the use of properties of logarithms to find the solution. The
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