64 = x 98. log5 625 = x 99. 1og3 104. e-2r+1 = 13 1 102. e2x = 3 101. e = 10 103. e2r+5 = 8 105. log7(x + 4) = 2 106. log5 (x + x + 4) = 2 107. log, 8* = -6 108. log, 3* = -1 109. 5e0.2x = 7 110. 8 102x-7 = 3 111. 2.102-x = 5 112. 4et+1 = 5 113 114 Sunnose that F(x) = loga (x + 1) - 3. Suppoco thot C (

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...
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Please help 103,109
In Problems 89–112, solve each equation.
92. log3 (3x - 2) = 2
89. log3 x = 2
91. log2 (3x + 4) = 5
90. logs x = 3
96. In e 2* = 8
93. log, 16 = 2
94. logr
95. In e* = 5
= 3
100. log6 36 = 5x + 3
97. log4 64 = x
99. log3 243 = 2x + 1
98. log5 625 = x
\101. er
1
102. e-2* =
3
104. e 2x+1 = 13
= 10
103. e2r+5 = 8
105. log7(x + 4) = 2
106. log5 (x2 + x + 4) = 2
107. log, 8* = -6
108. log3 3* = -1
109. 5e0.2x = 7
110. 8· 102x-7 = 3
111. 2:102-x = 5
112. 4e*+1 = 5
113. Suppose that G(x) = log3 (2x + 1) – 2.
114. Suppose that F(x) = log2(x + 1) – 3.
(a) What is the domain of G?
(b) What is G (40)? What point is on the graph of G?
(c) If G(x) = 3, what is x? What point is on the graph
(a) What is the domain of F?
(b) What is F(7)? What point is on the graph of F?
(c) If F(x) = -1, what is x? What point is on the gra
ef F?
(d) Whar is the zero of F?
of G?
(d) What is the zero of G?
Mixed Practice In Problems 115–118, graph each function. Based on the graph, siuie the domain and the range, and find any interce
{ In (-x)
1-In (-x) if –1< x < 0
SIn x
(-In x if x 1
SIn (-x) if x < 0
In x
if x < -1
115. f(x) =
116. f(x)
if x > 0
-In x if 0 < x < 1
| In x
if 0 < x < 1
117. f(x)
118. f(x) =
if x > 1
Applications and Extensions
119. Chemistry The pH of a chemical solution is given by the
formula
Race
Propc
White
0.E
pH
- log 10 [H*]
0.
where [H*] is the concentration of hydrogen ions in moles
ner liter Yalues of pH range from 0 (acidic) to 14 (alkaline).
Black or African American
0.
American Indian and Alaska Native
Transcribed Image Text:In Problems 89–112, solve each equation. 92. log3 (3x - 2) = 2 89. log3 x = 2 91. log2 (3x + 4) = 5 90. logs x = 3 96. In e 2* = 8 93. log, 16 = 2 94. logr 95. In e* = 5 = 3 100. log6 36 = 5x + 3 97. log4 64 = x 99. log3 243 = 2x + 1 98. log5 625 = x \101. er 1 102. e-2* = 3 104. e 2x+1 = 13 = 10 103. e2r+5 = 8 105. log7(x + 4) = 2 106. log5 (x2 + x + 4) = 2 107. log, 8* = -6 108. log3 3* = -1 109. 5e0.2x = 7 110. 8· 102x-7 = 3 111. 2:102-x = 5 112. 4e*+1 = 5 113. Suppose that G(x) = log3 (2x + 1) – 2. 114. Suppose that F(x) = log2(x + 1) – 3. (a) What is the domain of G? (b) What is G (40)? What point is on the graph of G? (c) If G(x) = 3, what is x? What point is on the graph (a) What is the domain of F? (b) What is F(7)? What point is on the graph of F? (c) If F(x) = -1, what is x? What point is on the gra ef F? (d) Whar is the zero of F? of G? (d) What is the zero of G? Mixed Practice In Problems 115–118, graph each function. Based on the graph, siuie the domain and the range, and find any interce { In (-x) 1-In (-x) if –1< x < 0 SIn x (-In x if x 1 SIn (-x) if x < 0 In x if x < -1 115. f(x) = 116. f(x) if x > 0 -In x if 0 < x < 1 | In x if 0 < x < 1 117. f(x) 118. f(x) = if x > 1 Applications and Extensions 119. Chemistry The pH of a chemical solution is given by the formula Race Propc White 0.E pH - log 10 [H*] 0. where [H*] is the concentration of hydrogen ions in moles ner liter Yalues of pH range from 0 (acidic) to 14 (alkaline). Black or African American 0. American Indian and Alaska Native
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