Test Bank Chapter 5 Exponential And Logarithmic Functions - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.
College Algebra, 5e (Young)
Chapter 5 Exponential and Logarithmic Functions
5.2 Logarithmic Functions and Their Graphs
1) Write the logarithmic equation in its equivalent exponential form.
25 = -2
A) 
= 1/5
B) 
= 25
C) 
= 25
D) 
= 25
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Convert logarithmic expressions to exponential expressions.
2) Write the logarithmic equation in its equivalent exponential form.
32 = 5
A) 
= 2
B) = 32
C) 
= 32
D) 
= 2
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Convert logarithmic expressions to exponential expressions.
3) Write the logarithmic equation in its equivalent exponential form.
log 1000 = 3
A) 
= 1000
B) 
= 1000
C) 
= 1000
D) 
= 10
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Convert logarithmic expressions to exponential expressions.
4) Write the logarithmic equation in its equivalent exponential form.
log 0.01 = -2
A) 
= 0.01
B) 
= 0.01
C) 
= 0.01
D) 
= 10
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Convert logarithmic expressions to exponential expressions.
5) Write the exponential equation in its equivalent logarithmic form.
5 = 
A) ln 125 = 5
B) 
= 125
C) 125 = 5
D) 
5 =
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Convert exponential expressions to logarithmic expressions.
6) Write the exponential equation in its equivalent logarithmic form.
= 625
A) ln 625 = 4
B) 625 = 4
C) 
4 = 5
D) log 625 = 4
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Convert exponential expressions to logarithmic expressions.
7) Write the exponential equation in its equivalent logarithmic form.
= 
A) 
= 4
B) 
= 4
C) log = 4
D) = 4
Diff: 2 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Convert exponential expressions to logarithmic expressions.
8) Evaluate the logarithm exactly.
1
A) 1
B) 37
C) 0
D) undefined
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Evaluate logarithmic expressions exactly by inspection.
9) Approximate the common logarithm using the calculator. Round your answer to two decimal places.
log 838
A) 2.92
B) 8380
C) 6.73
D) 2277.92
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Approximate common and natural logarithms using a calculator.
10) Approximate the common logarithm using the calculator. Round your answer to two decimal places.
log 0.0101
A) -4.60
B) -2.00
C) 0.03
D) 0.101
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Approximate common and natural logarithms using a calculator.
11) Approximate the natural logarithm using a calculator. Round your answer to two decimal places.
ln 33
A) 1.52
B) 89.70
C) 3.50
D) 330
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Approximate common and natural logarithms using a calculator.
12) Approximate the natural logarithm using a calculator. Round your answer to two decimal places.
ln 0.0084
A) -2.08
B) 0.08
C) 0.02
D) -4.78
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Approximate common and natural logarithms using a calculator.
13) State the domain of the logarithm function f (x) = 
(10 - x) in interval notation.
A) (10, ∞)
B) (-∞, 10)
C) (-∞, 10]
D) (0, ∞)
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Determine domain restrictions on logarithmic functions.
14) State the domain of the logarithm function f (x) = 
.
A) (-∞, ∞)
B) (-3, 3)
C) (0, ∞)
D) (-∞, -3) ∪ (-3, ∞)
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Determine domain restrictions on logarithmic functions.
15) State the domain of the logarithm function f (x) = 
.
A) (0, ∞)
B) [- 4, 4]
C) (- 4, 4)
D) (-∞, 4) ∪ ( 4, ∞)
Diff: 2 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Determine domain restrictions on logarithmic functions.
16) Write the logarithmic equation in its equivalent exponential form.
21.11 = 2.2
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Convert logarithmic expressions to exponential expressions.
17) State the domain of the logarithmic function f (x) = (47 - x) in interval notation.
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Determine domain restrictions on logarithmic functions.
18) Write the exponential equation in its equivalent logarithmic form.
= 3.48
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Convert exponential expressions to logarithmic expressions.
19) Graph the logarithmic function.
f (x) = 
(3 - x)
Diff: 2 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Graph logarithmic functions.
20) Graph the logarithmic function using transformation techniques.
f (x) = 
(2 - x)
Diff: 3 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Graph logarithmic functions.
21) Match the graph with the logarithmic function.
f(x) = 
(3 - x)
A)
B)
C)
D)
Diff: 3 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Graph logarithmic functions.
22) Match the graph to the logarithmic function.
A) f (x) = (x + 1) - 1
B) f (x) = (x - 1) - 1
C) f (x) = 
(x - 1) + 1
D) f (x) = (x + 1) + 1
Diff: 3 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Graph logarithmic functions.
23) A city experienced a major earthquake. The energy released measured 
Calculate the magnitude of the earthquake using the Richter scale.
A) 11.3
B) 7.5
C) 17.4
D) 13.4
Diff: 2 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Evaluate logarithmic expressions exactly by inspection.
24) A substance has an approximate hydrogen ion concentration of about 3.89 × 
. Calculate its pH value.
A) 12.1
B) 25.1
C) -12.1
D) 10.9
Diff: 2 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Evaluate logarithmic expressions exactly by inspection.
25) Evaluate the logarithm exactly.
161,051
A) 1
B) 11
C) 5
D) undefined
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Evaluate logarithmic expressions exactly by inspection.
26) Evaluate the logarithm exactly.
- 243
A) 1
B) 3
C) 5
D) undefined
Diff: 1 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Evaluate logarithmic expressions exactly by inspection.
27) Graph the logarithmic function.
f (x) = 
+ 1
Diff: 2 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Graph logarithmic functions.
28) Graph the logarithmic function.
f (x) = (x + 5)
Diff: 2 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Graph logarithmic functions.
29) Graph the logarithmic function.
f (x) = -3x
Diff: 2 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Graph logarithmic functions.
30) Graph the logarithmic function on a logarithmic scale.
f (x) = -3
x
Diff: 2 Var: 1
Chapter/Section: Ch 05, Sec 02
Learning Objective: Graph functions using a logarithmic scale.
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