For Exercises 45-68, write the logarithmic expression as a single logarithm with coefficient 1, and simplify as mucpossible. (See Examples 5-6)45. In y + In 446. log 5 + log p47. logis 3 + logıs 548. log12 8 + logı2 1849. log, 98 - log, 250. log, 144 - log, 452. log, 693 - log, 33 - loga 73 log, n - 2 logs P58. 2[log(p - 4) – log(p - 1) - log(p + 4)53. 2 log; x + log, 156. 8 log, x - 2 log, z - 751. log 150 -log 3 - log 554. 5 log, y + log, w55. 4 logs m -57. 3[In x – In(x + 3) – In (x – 3)]+ 1) - In(x – 1)60. 국ln(2 + 1)-국n(x + 1)61.6 log x-togy-방59.-log d - log k63. log, p+ log,(g – 16) – log,(g – 4)62. 15 log e64. -log:w + log,(w - 100) - log,(w + 10)65. -16In(x + 2) + In x - In x)66. -[12In(x - 5) + In x - In x']67. log(8y - 7y) + log y68. log(9r5r) + log

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Answered: For Exercises 45-68, write the…

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Exponential And Logarithmic Functions

Section11.5: Exponential Equations, Logarithmic Equations, And Problem Solving

Problem 50PS

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What can you conclude about log2 16, or log2(32/2)?
2log5(x-3) - log5(8) = log5(2)
I estimate that log8 16 lies between 1 and 2 because 81 = 8 and 82 = 64.Determine whether the statement makes sense or does not make sense, and explain your reasoning.
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.
Write the logarithmic expression 4log5y-3log5x+1/2log5z as a single logarithm with coefficient 1 and simplify as much as possible. Show all work.
In this exercise, we 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.
In this exercise, we 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. (a) What is the yearly decay factor for the exponential model?(b) Find an exponential model for M as a function of n. (Let n = 0 represent the fifth anniversary.) M = (c) According to your model, what fraction of women married for the first time in 1960 celebrated their 50th anniversary? (Take n = 45.) Round your answer to three decimal places.
Coordinate with authorities regarding the production rate of the naturalsources of income in your areas such as rice, coconut, or fish production.Construct an exponential function corresponding to the production rate that you will be given. Based on the exponential expression you formulated, how would you be able to contribute in their promotion or restoration as a responsible citizen?How would you promote your own city’s pride to others?
To find a logarithm of a number, two cases must be considered, critically outline these cases in the field of mathematics, compare and contrast them and illustrate your answers with suitable practical examples from any field of mathematics. NB no plagiarism
What exponential function will pass through both (2,4) and (5,7)?
On March 31th, the number of people testing positive for Covid-19 in the state of Colorado was 2966. On July 28th, the state of Colorado had 45,314 people who tested positive. Write an exponential model of the form ? = ??!" to represent the number of positive cases of Covid-19 since March 31st. Then predict how many cases we can expect on September 1st.
how to use a calculator to approximate an exponential function like 23.4 or 32.4 Or can you show me by hand as well?

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