#9 explain thoroughly please CHECKPOINT1. The (negative) y-axis2. Yes srl zew3. x>0 is the domain of log, x.4. (a) 34 = x = 815. (a) x p 00e6. (a) 2.7718 inANSWERSड्(b) log 31 = In 31(b) 3(b) -0.3072(c(cEXERCISES 5,228. (a) log429. If f(x)30. If f(x)31. If f(x)32. If f(x)33. If f(x)34. If f(x)woIn Problems 1-4, use the definition of a logarithmic func-tion to rewrite each equation in exponential form.1. 4 = log, 162. 4 = log3 8113.= log4 24. -2 = log3ihno IsdinsCEbmuoe lo zesnbuolg (eladisbIn Problems 5–14, solve for x by writing the equation inexponential form.In Probler5. log3 x = 46. log4 x = -2had lo blodadi o ai sariw8. log25 x = -properties7. log16 x = -lo29. log, (3x + 1) = 2o 10. log3 (711. log (4x - 7) = 2 12. log (1.34 – x) = -1 T A13. In (2x + 5) = 2.2 (to three decimal places) uods14. In (2 – x) = -1.4 (to three decimal places)elsdiosb ni bruoe lo 225abuol rol noilsupo adt dgen20In Problems 15-18, write the equation in logarithmicform.x) = 3 iansini35. (а) 1O (c) I36. (а)salort16. 5 = 12515. 2 = 32(c)52917. 4-1 =L4alsdia18. 94/2 = 3Write eadifferenIn Problems 19 and 20, write the equation in logarithmicform and solve for x.19. e3x+5 = 0.55 (to three decimal places) m of noiluloe20. 102x+1exponerHa sdi sn alaimad.noilsm37. log0.25 (to three decimal places) lumnol oril yd39. logIn Problems 21-26, graph each function.21. y = log3 x23. y = In x25. y = log, (-x)22. y = log4 x24. y = log, x26. y = ln (-x)Use thein Prol41. In

9. log7(3x+1)=2 3x+1=72 3x+1=49

Answered: 9. log, (3x + 1) = 2

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,...

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A start-up firm has kept careful records of the time required to manufacture itsproduct, a shutoff valve used in gasoline pipelines.Cumulative Number Number of Hours Requiredof Units Produced for Next Unit50 3.3100 2.2400 1.0600 0.81,000 0.510,000 0.2a. Compute the logarithms of the numbers in each column. (Use natural logs.)b. Graph the ln(hours) against the ln(cumulative units) and eyeball a straight-linefit of the data. Using your approximate fit, estimate a and b.c. Using the results of part (b), estimate the time required to produce the first unitand the appropriate percentage learning curve that fits these data.d. Repeat parts (b) and (c), but use an exact least squares fit of the logarithmscomputed in part (a).
Express in tearms of logarithms of a, b, c, w and y
Suppose that a population grows according to a logistic model with carrying capacity 6500 and k = 0.0015 per year. If the initial population is 1000, write a formula for the population after t years.
When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected to grow rapidly at first but to level out when the population grows to near the maximum that the environment can support. Such growth is known as logistic population growth, and ecologists sometimes use a formula to describe it. The number N of deer present at time t (measured in years since the herd was introduced) on a certain wildlife reserve has been determined by ecologists to be given by the function below. (Round your answers down to the nearest whole number.) N = 12.35 0.01 + 0.54t (a) How many deer were initially on the reserve? deer(b) Calculate N(12).N(12) = deer (c) Express the number of deer present after 17 years using functional notation. N Calculate the number of deer present after 17 years. deer(d) How much increase in the deer population do you expect from the 12th to the 17th year? deer
When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected to grow rapidly at first but to level out when the population grows to near the maximum that the environment can support. Such growth is known as logistic population growth, and ecologists sometimes use a formula to describe it. The number N of deer present at time t (measured in years since the herd was introduced) on a certain wildlife reserve has been determined by ecologists to be given by the function below. (Round your answers down to the nearest whole number.) N = 12.33 0.01 + 0.54t (a) How many deer were initially on the reserve? deer(b) Calculate N(12).N(12) = deer(c) Express the number of deer present after 17 years using functional notation. N Calculate the number of deer present after 17 years. deer(d) How much increase in the deer population do you expect from the 12th to the 17th year? deer
Find all x- and y-intercepts of graph of y = -3 +log2(x2 - x +2).
consider data from the Statistical Abstract of the United States on the fraction of women married for the first time in 1960 whose marriage reached a given anniversary number. The data show that the fraction of women who reached their fifth anniversary was 0.928. After that, for each one-year increase in the anniversary number, the fraction reaching that number drops by about 2%. These data describe constant percentage change, so it is reasonable to model the fraction M as an exponential function of the number n of anniversaries since the fifth.
Expand ln 3√y3z2/x4 as a sum, difference and/ or the consent multiple of logarithms.
How predicted values of Y is computed when Y is in logarithms?
Find all x- and y-intercepts of graph of y = −3+log2 (x2-x+2)
what is intergral log x /x
Why is the logarithmic function not defined for negative values of x, thesoftware can produce only the right branch?

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