Answer the following 2.Sketch y₁ = log₂ (x-3) and y₂ = log2 (x-3) on the same graph. Comment on thesimilarities and differences of the sketches. Show by using math that y₂ = -₁.

Answered: Image /qna-images/answer/3505282c-3c7e-473c-9039-dbb51db886d5.jpg

Answered: 2. Sketch y₁ = log₂ (x-3) and y₂ =…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 52RE

See similar textbooks

Similar questions

What happens to an exponential function as the values of x decreases? Will the graph ever cross the y -axis? Explain.
A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?
The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.
Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?
Determine whether Table 1 could represent a function that is linear, exponential, or neither. If it appears to beexponential find a function that passes through the points.
Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine whetherthe data from the table would likely represent a function that is linear, exponential, or logarithmic.
Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?
What strategy would you use to graph fx=log5x?
Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this rate of growth, how many bacteria will there be in 24 hours?
Solve for x: log5x=3
Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?
According to your model, what is the length of the sunspot cycle (in years)? In 1848, Rudolph Wolf determined the length of the sunspot cycle to be 11.1 years. How does your value compare with his?

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

Trigonometry (MindTap Course List)

Trigonometry

ISBN:

9781305652224

Author:

Charles P. McKeague, Mark D. Turner

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

2. Sketch y₁ = log₂ (x-3) and y₂ = log₁/2 (x-3) on the same graph. Comment on the similarities and differences of the sketches. Show by using math that y₂ = -₁.