97 please SECTION 5.6 Logarithmic and Exponential Equations 323sing funDableus 45-72, solve each exponential equation. Express irrational solutions in exact form.46. 5* = 2545. 2-5 = 847. 2 = 1048. 3 = 1450. 2* = 1.549. 8 = 1,251. 5(2) = 852. 0.3 (40.2x) = 0.254. 2*+1 = 5!-2r1-x53. 31-2r = 4"= 71-55.56.= 5*57. 1.2 = (0.5)-*61. 22 + 2" - 12 = 065. 16" + 4**1 - 3 = 069. 3-4* + 4.2" + 8 = 058. 0.31+* = 1.72r-159. 7-X = er60. er+3 = T62. 32r + 3* - 2 = 063. 32r + 3r+1 - 4 = 064. 22 + 2r+2 – 12 = 066. 9* - 3*+1 + 1 = 070. 2.49 + 11.7 + 5 = 067. 25* - 8. 5* = - 1668. 36* - 6.6* = -971. 4 - 10-4 = 372. 3 - 14.3- = 5a le Problems 73–86, use a graphing utility to solve each equation. Express your answer rounded to two decimal places.73. logs (x + 1) – log4(x - 2) = 174. log2 (x - 1) - log.(x + 2) = 277. e = x76. e2* = x + 275. e = -x78. e = x79. In x = -x80. In (2x) = -x + 281. In x = x³ - 182. In x = -x283. e* + In x = 484. e - In x = 485. e* = In x86. e*-In xApplications and Extensions87. f(x) = log2 (*+ 3) and g(x) = log2(3x + 1).(a) Solve f(x) = 3. What point is on the graph of f?(b) Solve g(x) = 4. What point is on the graph of g?(c) Solve f(x) = g(x). Do the graphs of fand g intersect?If so, where?(d) Solve (f + g) (x) = 7.(e) Solve (f - 8) (x) = 2.88. f(x) = log3 (x + 5) and g (x) = log3 (x(a) Solve f(x) = 2. What point is on the graph of f?(b) Solve g(x) = 3. What point is on the graph of g?(c) Solve f(x) = g(x). Do the graphs of f and g intersect?If so, where?(d) Solve (f + g) (x) = 3.(e) Solve (f - g) (x) = 2.89. (a) If f(x) = 3*+1 and g (x) = 2**2, graphf and g on thesame Cartesian plane.(b) Find the point(s) of intersection of the graphs of f and gby solving f(x) = g(x). Round answers to threedecimal places. Label any intersectita point an thegraph drawn in part (a).(c) Based on the graph, solve f(x) > 8x).90. (a) If f(x) = 5*-1 and g(x) = 2*+1, graph f and g on ihesame Cartesian plane.(b) Find the point(s) of intersection of the graphs of f and gby solving f(x) = g(x). Label any intersection pointson the graph drawn in part (a).(c) Based on the graph, solve f(x) > g(x).91. (a) Graph f(x) = 3* and g (x) = 10 on the same Cartesianplane.(b) Shade the region bounded by the y-axis, f(x) = 3*,and g (x) = 10 on the graph drawn in part (a).(c) Solve f(x) = g(x) and label the point of intersectionon the graph drawn in part (a).2. (a) Graph f(x) = 2* and g (x) = 12 on the same Cartesianplane.93. (a) Graph f(x) = 2*+1 and g(x) = 2*+2 on the sameCartesian plane.(b) Shade the region bounded by the y-axis, f(x) = 2*+1and g(x) = 2*+2 on the graph drawn in part (a).(c) Solve f(x) = g(x) and label the point of intersectionon the graph drawn in part (a).ed in nl94. (a) Graph f(x) = 3-x+1 and g(x) = 3*-2 on the sameCartesian plane.(b) Shade the region bounded by the y-axis, f(x) = 3*+1,and g (x) = 3*2 on the graph drawn in part (a).(c) Solve f(x) = g(x) and label the point of intersectionon the graph drawn in part (a).1).1-AS2=D95. (a) Graph f(x) = 2* – 4.(b) Find the zero of f.(c) Based on the graph, solve f(x) < 0.96. (a) Graph g (x) = 3* - 9.(b) Find the zero of g.(c) Based on the graph, solve g (x) > 0.97. A Population Model The resident population of the UnitedStates in 2018 was 327 million people and was growing ata rate of 0.7% per year. Assuming that this growth ratecontinues, the model P(t) = 327 (1.007)-2018 representthe population P (in millions of people) in year t.(a) According to this model, when will the population of thUnited States be 415 million people?(b) According to this model, when will the population of thUnited States be 470 million people?Source: U.S. Census Bureau98. A Population Model The population of the world in 20was 7.63 billion people and was growing at a raof 1.1% per year. Assuming that this growth rate continuthe model P(t) = 7.63 (1.011)-2018population P (in billions of people) in year t.(a) According to this model, when will the population ofworld be 9 billion people?(b) According to this model, when will the population ofworld be 12.5 billion people?represents t(b) Shade the region bounded by the y-axis, f(x) = 2*,and g (x) = 12 on the graph drawn in part (a).(c) Solve f(x) = g(x) and label the point of intersectionon the graph drawn in part (a).Source: U.S. Census Bureauand

Answered: Image /qna-images/answer/5aa30361-b314-4deb-a238-825ba0001bf1.jpg

97. A Population Model The resident population of the United States in 2018 was 327 million people and was growing at a rate of 0.7% per year. Assuming that this growth rate continues, the model P(t) = 327 (1.007) the population P (in millions of people) in year t. (a) According to this model, when will the population of the United States be 415 million people? (b) According to this model, when will the population of th United States be 470 million people? t-2018 represent.

97. A Population Model The resident population of the United States in 2018 was 327 million people and was growing at a rate of 0.7% per year. Assuming that this growth rate continues, the model P(t) = 327 (1.007) the population P (in millions of people) in year t. (a) According to this model, when will the population of the United States be 415 million people? (b) According to this model, when will the population of th United States be 470 million people? t-2018 represent.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: 621 80

A: The normal curve is the continuous bell shaped curve which is perfectly symmetric about is mean.…

Q: 19. dz (922 – 25)7

Q: 28 +28

Q: 78+69

A: Simplification

Q: 158 + 199

A: topic - addition

Q: 6 + 215

A: Please see the addition below.

Q: Find the eguation of the tangent Line to the CUrre y= Cos( Son)e) at the Point mith coordinates (T)…

A: Given curve is, y=cos(sin(x)) we have to find the equation of the tangent line at the point (π,1) of…

Q: What is 60 plus 60

A: given that, what is 60 plus 60?

Q: 25+85

A: See 2nd step

Q: 47 68 +22 + 10

A: Please see step 2

Q: 6 + V8 Simplify 2

A: Given 6±82

Q: 3 9561 63588

Q: 19+ 10 5.

A: Topic = Complex number

Q: 856 + 27

Q: dr 414. 12 +1

Q: 5+862

A: The given data is: 5+862 To find the sum of the given expression.

Q: 326 times 84

A: The word "times" in math means Product or multiplication. Four times three means 4×3. The given…

Q: SS dzdy

Q: 2 divide 70

A: Given,

Q: 25+64

A: given the two numbers 25 and 64 we need to find the sum of two numbers that is 25+64=?

Q: 28+76

Q: 543+3853

A: Let assume that a = 543 b = 3853 The formula for calculating the addition of two numbers is,

Q: 2+98+928+28*628=

Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 5+499

A: We need to evauate 5+499

Q: 56+64

A: Addition is adding Any two or more numbers to combine to form one number.

Q: 123 added 50

A: We have to add given numbers.

Q: 58+50

A: Please see the below answer.

Q: 3453+8678

A: To find the value of addition of two numbers

Q: 6TH GRADE MA MON There are 28 students in math class, 22 of the tudents passed a recent rest. What…

A: Given query is to find the percentage of students passed the test.

Q: 100+157

A: The given expression 100+157. We have to find the value of the expression.

Q: what is 100 dived by 100

Q: Only 53 and 57

A: Given values are, 1) r=5 2) r=4cos theta

Q: J 49+14

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

97 please

SECTION 5.6 Logarithmic and Exponential Equations 323
sing fun
Dableus 45-72, solve each exponential equation. Express irrational solutions in exact form.
46. 5* = 25
45. 2-5 = 8
47. 2 = 10
48. 3 = 14
50. 2* = 1.5
49. 8 = 1,2
51. 5(2) = 8
52. 0.3 (40.2x) = 0.2
54. 2*+1 = 5!-2r
1-x
53. 31-2r = 4"
= 71-
55.
56.
= 5*
57. 1.2 = (0.5)-*
61. 22 + 2" - 12 = 0
65. 16" + 4**1 - 3 = 0
69. 3-4* + 4.2" + 8 = 0
58. 0.31+* = 1.72r-1
59. 7-X = er
60. er+3 = T
62. 32r + 3* - 2 = 0
63. 32r + 3r+1 - 4 = 0
64. 22 + 2r+2 – 12 = 0
66. 9* - 3*+1 + 1 = 0
70. 2.49 + 11.7 + 5 = 0
67. 25* - 8. 5* = - 16
68. 36* - 6.6* = -9
71. 4 - 10-4 = 3
72. 3 - 14.3- = 5
a le Problems 73–86, use a graphing utility to solve each equation. Express your answer rounded to two decimal places.
73. logs (x + 1) – log4(x - 2) = 1
74. log2 (x - 1) - log.(x + 2) = 2
77. e = x
76. e2* = x + 2
75. e = -x
78. e = x
79. In x = -x
80. In (2x) = -x + 2
81. In x = x³ - 1
82. In x = -x2
83. e* + In x = 4
84. e - In x = 4
85. e* = In x
86. e*
-In x
Applications and Extensions
87. f(x) = log2 (*+ 3) and g(x) = log2(3x + 1).
(a) Solve f(x) = 3. What point is on the graph of f?
(b) Solve g(x) = 4. What point is on the graph of g?
(c) Solve f(x) = g(x). Do the graphs of fand g intersect?
If so, where?
(d) Solve (f + g) (x) = 7.
(e) Solve (f - 8) (x) = 2.
88. f(x) = log3 (x + 5) and g (x) = log3 (x
(a) Solve f(x) = 2. What point is on the graph of f?
(b) Solve g(x) = 3. What point is on the graph of g?
(c) Solve f(x) = g(x). Do the graphs of f and g intersect?
If so, where?
(d) Solve (f + g) (x) = 3.
(e) Solve (f - g) (x) = 2.
89. (a) If f(x) = 3*+1 and g (x) = 2**2, graphf and g on the
same Cartesian plane.
(b) Find the point(s) of intersection of the graphs of f and g
by solving f(x) = g(x). Round answers to three
decimal places. Label any intersectita point an the
graph drawn in part (a).
(c) Based on the graph, solve f(x) > 8x).
90. (a) If f(x) = 5*-1 and g(x) = 2*+1, graph f and g on ihe
same Cartesian plane.
(b) Find the point(s) of intersection of the graphs of f and g
by solving f(x) = g(x). Label any intersection points
on the graph drawn in part (a).
(c) Based on the graph, solve f(x) > g(x).
91. (a) Graph f(x) = 3* and g (x) = 10 on the same Cartesian
plane.
(b) Shade the region bounded by the y-axis, f(x) = 3*,
and g (x) = 10 on the graph drawn in part (a).
(c) Solve f(x) = g(x) and label the point of intersection
on the graph drawn in part (a).
2. (a) Graph f(x) = 2* and g (x) = 12 on the same Cartesian
plane.
93. (a) Graph f(x) = 2*+1 and g(x) = 2*+2 on the same
Cartesian plane.
(b) Shade the region bounded by the y-axis, f(x) = 2*+1
and g(x) = 2*+2 on the graph drawn in part (a).
(c) Solve f(x) = g(x) and label the point of intersection
on the graph drawn in part (a).
ed in nl
94. (a) Graph f(x) = 3-x+1 and g(x) = 3*-2 on the same
Cartesian plane.
(b) Shade the region bounded by the y-axis, f(x) = 3*+1,
and g (x) = 3*2 on the graph drawn in part (a).
(c) Solve f(x) = g(x) and label the point of intersection
on the graph drawn in part (a).
1).
1-AS
2=D
95. (a) Graph f(x) = 2* – 4.
(b) Find the zero of f.
(c) Based on the graph, solve f(x) < 0.
96. (a) Graph g (x) = 3* - 9.
(b) Find the zero of g.
(c) Based on the graph, solve g (x) > 0.
97. A Population Model The resident population of the United
States in 2018 was 327 million people and was growing at
a rate of 0.7% per year. Assuming that this growth rate
continues, the model P(t) = 327 (1.007)-2018 represent
the population P (in millions of people) in year t.
(a) According to this model, when will the population of th
United States be 415 million people?
(b) According to this model, when will the population of th
United States be 470 million people?
Source: U.S. Census Bureau
98. A Population Model The population of the world in 20
was 7.63 billion people and was growing at a ra
of 1.1% per year. Assuming that this growth rate continu
the model P(t) = 7.63 (1.011)-2018
population P (in billions of people) in year t.
(a) According to this model, when will the population of
world be 9 billion people?
(b) According to this model, when will the population of
world be 12.5 billion people?
represents t
(b) Shade the region bounded by the y-axis, f(x) = 2*,
and g (x) = 12 on the graph drawn in part (a).
(c) Solve f(x) = g(x) and label the point of intersection
on the graph drawn in part (a).
Source: U.S. Census Bureau
and

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.