Evaluate the expression. 11) log41 97.52 A) 1.9891 Solve the problem 500e0.16t B) 0.8108 B) k = 0.19; P(t) = D) k = 0.17; P(t) = C) 1.2333 500e0.19t 500e0.27t D) 2.3785 11
Evaluate the expression. 11) log41 97.52 A) 1.9891 Solve the problem 500e0.16t B) 0.8108 B) k = 0.19; P(t) = D) k = 0.17; P(t) = C) 1.2333 500e0.19t 500e0.27t D) 2.3785 11
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Transcription of Image Content for Educational Use**
Below is the transcription of various mathematical problems and exercises typically found in educational materials. The text includes equations, logarithmic expressions, and problems related to population growth.
---
**11. Evaluate the expression.**
\[
\log_{41} 97 = ?
\]
- A) 1.9891
- B) 0.8108
- C) 1.2333
- D) 2.3785
---
**12. Solve the problem.**
The population growth of an animal species is described by the function \( F(t) = 200 + 50 \log_2 (2t + 1) \) where \( t \) is measured in months. Find the population of this species in an area 40 month(s) after the species is introduced.
- A) 210
- B) 2145
- C) 4250
- D) 400
---
**13. Write in logarithmic form.**
\[
6^2 = 36 \quad \text{is rewritten as} \quad \log_6 36 = ?
\]
- A) 2
- B) 6
- C) 36
- D) 2.879
---
**14. Find the value of the expression.**
\[
\log_9 3 = ?
\]
- A) 27
- B) 9
- C) 3
- D) 729
---
**15. Write in logarithmic form.**
Possible answers with some missing parts and misalignment:
- A) \( 9 = \log_{6561} 4 \)
- B) \( \frac{1}{4} = \log_{6561} 9 \)
- C) \( 9 = \log_{14} 6561 \)
- D) \( \frac{1}{4} = \log_{6561} 9 \)
---
**16. Solve the equation.**
\[
6(6x + 1) = 29
\]
- A) 5.033
- B) 1.879
- C) 3
- D) 2.879
---
This set of problems tests knowledge of logarithms, basic algebra, and exponential functions. The problems are designed for educational purposes to assess understanding of mathematical concepts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5db57141-0c00-4479-b5a0-2d3a0d916b87%2Fb0d83981-4c58-41d4-af89-c9b1fb3a880c%2Fnzm7v1p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription of Image Content for Educational Use**
Below is the transcription of various mathematical problems and exercises typically found in educational materials. The text includes equations, logarithmic expressions, and problems related to population growth.
---
**11. Evaluate the expression.**
\[
\log_{41} 97 = ?
\]
- A) 1.9891
- B) 0.8108
- C) 1.2333
- D) 2.3785
---
**12. Solve the problem.**
The population growth of an animal species is described by the function \( F(t) = 200 + 50 \log_2 (2t + 1) \) where \( t \) is measured in months. Find the population of this species in an area 40 month(s) after the species is introduced.
- A) 210
- B) 2145
- C) 4250
- D) 400
---
**13. Write in logarithmic form.**
\[
6^2 = 36 \quad \text{is rewritten as} \quad \log_6 36 = ?
\]
- A) 2
- B) 6
- C) 36
- D) 2.879
---
**14. Find the value of the expression.**
\[
\log_9 3 = ?
\]
- A) 27
- B) 9
- C) 3
- D) 729
---
**15. Write in logarithmic form.**
Possible answers with some missing parts and misalignment:
- A) \( 9 = \log_{6561} 4 \)
- B) \( \frac{1}{4} = \log_{6561} 9 \)
- C) \( 9 = \log_{14} 6561 \)
- D) \( \frac{1}{4} = \log_{6561} 9 \)
---
**16. Solve the equation.**
\[
6(6x + 1) = 29
\]
- A) 5.033
- B) 1.879
- C) 3
- D) 2.879
---
This set of problems tests knowledge of logarithms, basic algebra, and exponential functions. The problems are designed for educational purposes to assess understanding of mathematical concepts.
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