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
Logarithm problems.
![5xe³x = 2
Products:
Quotients:
Exponents:
log(x-20) = 0.7
logh
JUM BOK AAN DE ACHTER AUOY BLOAD
Logarithms to the base 10 are called common logarithms:
Logarithms to the base e=2.718281828... are called.natural logarithms:
log, x log x
In x
Change of base:
log, blogb Inb
log, x =
where b>0,b=1
log, (x y) = log, x+logh y
y
= log₂ x-log, y
log, (x")=nlog, x
0.3x100.2x-1
Find the logarithm of 8 to the base 2
Simplify, express as a single logarithm
log, 24-log, 8+log, 6
= 0.5
In (5x+2) = 3
Logarithm Rules
"
log₁0 y = log y
log₂ y = ln y
log, 1=0
log, b=1
Find the logarithm of 6 to the base 36
5logx+-log(x²)-3log(x²)
Find the unknowns. If applicable, round your answers to 4 significant digits.
0.5²* = 10
32x+1 = 12
p. 2013](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9247e628-8318-43ac-9d94-6fe43dcbd089%2Fcea80e41-5ab4-4da2-8482-a0d9cbf34afa%2F0hvtih5u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5xe³x = 2
Products:
Quotients:
Exponents:
log(x-20) = 0.7
logh
JUM BOK AAN DE ACHTER AUOY BLOAD
Logarithms to the base 10 are called common logarithms:
Logarithms to the base e=2.718281828... are called.natural logarithms:
log, x log x
In x
Change of base:
log, blogb Inb
log, x =
where b>0,b=1
log, (x y) = log, x+logh y
y
= log₂ x-log, y
log, (x")=nlog, x
0.3x100.2x-1
Find the logarithm of 8 to the base 2
Simplify, express as a single logarithm
log, 24-log, 8+log, 6
= 0.5
In (5x+2) = 3
Logarithm Rules
"
log₁0 y = log y
log₂ y = ln y
log, 1=0
log, b=1
Find the logarithm of 6 to the base 36
5logx+-log(x²)-3log(x²)
Find the unknowns. If applicable, round your answers to 4 significant digits.
0.5²* = 10
32x+1 = 12
p. 2013
![10
Definition of a logarithm:
MTA 002 Assignment 2
Exponential & Logarithmic Forms; Properties of Logarithms
YOUR NAME:
CIRCLE YOUR SECTION NUMBER: NAA NBB NCC
Maximum Marks: 20 (17 questions worth 1 mark each; word problem worth 3 marks)
Worth 7.5% of the Final Grade
Due Date: Thursday April 6th for section NCC; Friday, April 7th for sections NAA and NBB
10% penalty per day for lateness
Hand in the hard paper copies by the due date.
Please do not email the assignment.
20
9
"x" is the logarithm of "y" to the base "b
Special cases:
round to 4 significant digits.
Common logarithm: base b=10
Natural logarithm: base b=e=2.718281828
log(5.75×10-¹5)
If
y=b*
then x = log, y
2x+3
= 3
where y> 0, b>0,b=1
In 0.0001236
e
Solve for x. Round your answers to 4 significant figures.
10
7
x = log y
x = ln y
pil of 3
10⁰.1.x = 0.5
y=10*
y=e*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9247e628-8318-43ac-9d94-6fe43dcbd089%2Fcea80e41-5ab4-4da2-8482-a0d9cbf34afa%2Fptlp34h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10
Definition of a logarithm:
MTA 002 Assignment 2
Exponential & Logarithmic Forms; Properties of Logarithms
YOUR NAME:
CIRCLE YOUR SECTION NUMBER: NAA NBB NCC
Maximum Marks: 20 (17 questions worth 1 mark each; word problem worth 3 marks)
Worth 7.5% of the Final Grade
Due Date: Thursday April 6th for section NCC; Friday, April 7th for sections NAA and NBB
10% penalty per day for lateness
Hand in the hard paper copies by the due date.
Please do not email the assignment.
20
9
"x" is the logarithm of "y" to the base "b
Special cases:
round to 4 significant digits.
Common logarithm: base b=10
Natural logarithm: base b=e=2.718281828
log(5.75×10-¹5)
If
y=b*
then x = log, y
2x+3
= 3
where y> 0, b>0,b=1
In 0.0001236
e
Solve for x. Round your answers to 4 significant figures.
10
7
x = log y
x = ln y
pil of 3
10⁰.1.x = 0.5
y=10*
y=e*
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra And Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
![Introduction to Linear Algebra, Fifth Edition](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
![College Algebra (Collegiate Math)](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education