Homework Help is Here – Start Your Trial Now!
Math
Calculus
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. In(a) – In(b) = In(a - b) for all positive real numbers a and b. O True. Take a = 4 and b = 2. Then In(a) - In(b) = In(4) – In(2) = In = In(2). And In(a - b) = In(4 – 2) = In(2). True. This is one of the Laws of Logarithms. O False. In(a – b) = In(a) - In(b) only for negative real numbers a and b. False. In(a - b) = In(a) – In(b) only for positive real numbers a > b. O False. Take a = 2 and b = 1. Then In(a) – In(b) = In(2) – In(1) = In(2) - 0 = In(2). But In(a - b) = In(2 – 1) = In(1) = 0. O O O

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. In(a) – In(b) = In(a - b) for all positive real numbers a and b. O True. Take a = 4 and b = 2. Then In(a) - In(b) = In(4) – In(2) = In = In(2). And In(a - b) = In(4 – 2) = In(2). True. This is one of the Laws of Logarithms. O False. In(a – b) = In(a) - In(b) only for negative real numbers a and b. False. In(a - b) = In(a) – In(b) only for positive real numbers a > b. O False. Take a = 2 and b = 1. Then In(a) – In(b) = In(2) – In(1) = In(2) - 0 = In(2). But In(a - b) = In(2 – 1) = In(1) = 0. O O O

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 5E
See similar textbooks
icon
Related questions
Question
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. In(a) – In(b) = In(a – b) for all positive real numbers a and b. %3D 4 True. Take a = 4 and b = 2. Then In(a) – In(b) = In(4) – In(2) = In In(2). And In(a – b) = In(4 – 2) = In(2). 2 True. This is one of the Laws of Logarithms. False. In(a - b) = In(a) – In(b) only for negative real numbers a and b. False. In(a - b) = In(a) – In(b) only for positive real numbers a > b. O False. Take a = 2 and b = 1. Then In(a) – In(b) = In(2) – In(1) = In(2) – 0 = In(2). But In(a - b) = In(2 - 1) = In(1) = 0.
Transcribed Image Text:Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. In(a) – In(b) = In(a – b) for all positive real numbers a and b. %3D 4 True. Take a = 4 and b = 2. Then In(a) – In(b) = In(4) – In(2) = In In(2). And In(a – b) = In(4 – 2) = In(2). 2 True. This is one of the Laws of Logarithms. False. In(a - b) = In(a) – In(b) only for negative real numbers a and b. False. In(a - b) = In(a) – In(b) only for positive real numbers a > b. O False. Take a = 2 and b = 1. Then In(a) – In(b) = In(2) – In(1) = In(2) – 0 = In(2). But In(a - b) = In(2 - 1) = In(1) = 0.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
SEE MORE TEXTBOOKS