Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Why must the base of a logarithm be positive? Why can we not calculate the logarithm of a negative number?

Why must the base of a logarithm be positive? Why can we not calculate the logarithm of a negative number?

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.3: Logarithmic Functions
Problem 2SE: How is the logarithmic function f(x)=logb(x) related to the exponential function g(x)=bx ? Whatis...
See similar textbooks
icon
Related questions
Question
. Why must the base of a logarithm be positive? . Why can we not calculate the logarithm of a negative number? . Rod says that he is thinking of a one variable exponential or logarithmic equation that has the following characteristics: a. has solutions x = 1 and x = 2 . b. does not contain the digit "3" c. contains the number -12. What are two different equations that Rod could be thinking of? Are those the only possible answers? Solve, rounding final answers to three decimals where appropriate, = 2(6x²-²) 5x √5 . Solve, rounding to three decimals where appropriate, logx-4(3x + 1) = 2
Transcribed Image Text:. Why must the base of a logarithm be positive? . Why can we not calculate the logarithm of a negative number? . Rod says that he is thinking of a one variable exponential or logarithmic equation that has the following characteristics: a. has solutions x = 1 and x = 2 . b. does not contain the digit "3" c. contains the number -12. What are two different equations that Rod could be thinking of? Are those the only possible answers? Solve, rounding final answers to three decimals where appropriate, = 2(6x²-²) 5x √5 . Solve, rounding to three decimals where appropriate, logx-4(3x + 1) = 2
. Using logarithm properties there are multiple ways of expressing the same transformations on a parent function. Given g(x) = 8 log[2(x)], find equivalent functions in the following forms. Round values to 4 decimal places where appropriate. a. g(x) = logb(x) + c b. g(x) = logb[k(x)] c. g(x) = log[k(x)] Not all logarithmic and exponential equations can be solved algebraically. Use technology to solve the equation 3²x-3 = log₂ (2x) to 4 decimal places. Include a sketch
Transcribed Image Text:. Using logarithm properties there are multiple ways of expressing the same transformations on a parent function. Given g(x) = 8 log[2(x)], find equivalent functions in the following forms. Round values to 4 decimal places where appropriate. a. g(x) = logb(x) + c b. g(x) = logb[k(x)] c. g(x) = log[k(x)] Not all logarithmic and exponential equations can be solved algebraically. Use technology to solve the equation 3²x-3 = log₂ (2x) to 4 decimal places. Include a sketch
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS