Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
I need questions 30,31,and32
![**Expanding Logs Worksheet**
**Directions**: Expand each logarithm.
27. \(\log_6 \left( x^7 z^2 \right)\)
28. \(\log_4 \left( \frac{a^9}{b} \right)\)
29. \(\log_7 \left( (9z^3)^2 \right)\)
30. \(\log_2 \left( \frac{y}{5z} \right)^2\)
31. \(\log_7 x^3\)
32. \(\log_3 \sqrt[4]{\frac{5^2}{m^7 n}} \)
---
**Note**: When expanding logarithms, use the logarithmic rules:
- **Product Rule**: \(\log_b(MN) = \log_b M + \log_b N\)
- **Quotient Rule**: \(\log_b \left(\frac{M}{N}\right) = \log_b M - \log_b N\)
- **Power Rule**: \(\log_b (M^p) = p \cdot \log_b M\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61a624e8-9805-4882-bd7c-8b439f9ba0a9%2Fa03d3da4-c457-4d5d-a6b7-98af29c7e98f%2F2h6kuj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Expanding Logs Worksheet**
**Directions**: Expand each logarithm.
27. \(\log_6 \left( x^7 z^2 \right)\)
28. \(\log_4 \left( \frac{a^9}{b} \right)\)
29. \(\log_7 \left( (9z^3)^2 \right)\)
30. \(\log_2 \left( \frac{y}{5z} \right)^2\)
31. \(\log_7 x^3\)
32. \(\log_3 \sqrt[4]{\frac{5^2}{m^7 n}} \)
---
**Note**: When expanding logarithms, use the logarithmic rules:
- **Product Rule**: \(\log_b(MN) = \log_b M + \log_b N\)
- **Quotient Rule**: \(\log_b \left(\frac{M}{N}\right) = \log_b M - \log_b N\)
- **Power Rule**: \(\log_b (M^p) = p \cdot \log_b M\)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education