Exponential And Logarithmic Functions Exam Questions Ch.5 - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

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Exponential And Logarithmic Functions Exam Questions Ch.5

College Algebra, 5e (Young)

Chapter 5 Exponential and Logarithmic Functions

5.3 Properties of Logarithms

1) Use the properties of logarithms to simplify the expression.

(log) with subscript (63)63

A) 63

B) 1

C) 0

D) not defined

Diff: 1 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

2) Use the properties of logarithms to simplify the expression.

(e) with superscript (-2ln4)

A) -2 ln 4

B) 16

C) 1/16

D) -8

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

3) Use the properties of logarithms to simplify the expression.

(3) with superscript (4(log) with subscript (3)4)

A) 256

B) 16

C) 1/256

D) 81

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

4) Use the properties of logarithms to simplify the expression.

(log) with subscript (5)125

A) 5

B) 125

C) 3

D) 1/3

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

5) Use the properties of logarithms to simplify the expression.

(log) with subscript (2)(2) to the (2) root

A) 2

B) 1/2

C) 1

D) 0

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

6) Write the expression as a sum or difference of logarithms.

(log) with subscript (b)((x) with superscript (5)(y) with superscript (-8))

A) 5(log) with subscript (b)x + 8(log) with subscript (b)y

B) 5(log) with subscript (b) x - 8(log) with subscript (b) y

C) -8(log) with subscript (b)x - 5(log) with subscript (b)y

D) -40(log) with subscript (b)(xy)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Write a single logarithm as a sum or difference of logarithms.

7) Write the expression as a sum or difference of logarithms.

(log) with subscript (b)(((x) with superscript (5)y/(z) with superscript (4)))

A) 5(log) with subscript (b) x + (log) with subscript (b) y - 5(log) with subscript (b)z

B) 5(log) with subscript (b) x + (log) with subscript (b) y + 5(log) with subscript (b)z

C) 5(log) with subscript (b)x - (log) with subscript (b) y - 5logbz

D) (5/4)logb(xyz)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Write a single logarithm as a sum or difference of logarithms.

8) Write the expression as a sum or difference of logarithms.

(log) with subscript (b)(((x) with superscript ((1/3))/(z) with superscript ((1/2))))

A) (1/6)(log) with subscript (b)(xy)

B) 6(log) with subscript (b)(xz)

C) (1/3)(log) with subscript (b) x + (1/2)(log) with subscript (b) z

D) (1/3)(log) with subscript (b) x - (1/2)(log) with subscript (b) z

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Write a single logarithm as a sum or difference of logarithms.

9) Write the expression as a sum or difference of logarithms.

(log) with subscript (b)(((x) with superscript (4)(x + 6)/square root of (x + 9)))

A) 4(log) with subscript (b) x + (log) with subscript (b) x + (log) with subscript (b) 6 - (1/2)(log) with subscript (b)(x + 9)

B) 4(log) with subscript (b) x + (log) with subscript (b) (x + 6) + (1/2)(log) with subscript (b)(x + 9)

C) 4(log) with subscript (b) x + (log) with subscript (b) (x + 6) - (1/2)(log) with subscript (b)(x + 9)

D) 4(log) with subscript (b) x + (log) with subscript (b) x + (log) with subscript (b) 6 - (1/2)(log) with subscript (b) x - (log) with subscript (b) 9

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Write a single logarithm as a sum or difference of logarithms.

10) Write the expression as a single logarithm.

5log u + 6log v

A) log ((u) with superscript (5)(v) with superscript (6))

B) log ((u) with superscript (5) + (v) with superscript (6))

C) log (uv)

D) log ((uv)) with superscript (30)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Write a logarithmic expression as a single logarithm.

11) Write the expression as a single logarithm.

5log u - log v - 9log z

A) log((u) with superscript (5) - v - (z) with superscript (9))

B) log(((u) with superscript (5)v /(z) with superscript (9)))

C) log(((u) with superscript (5) /(vz) with superscript (9)))

D) log(((u) to the (5) root /v(z) to the (9) root))

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Write a logarithmic expression as a single logarithm.

12) Write the expression as a single logarithm.

(1/8)ln x - (1/9)ln y

A) ln((1/8)x - (1/9)y)

B) ln(((x) to the (8) root /(y) to the (9) root))

C) ln(((x) with superscript (8) /(y) with superscript (9)))

D) (l(ln(x) to the (8) root /ln(y) to the (9) root))

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Write a logarithmic expression as a single logarithm.

13) Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places.

(log) with subscript (2.6)13

A) 3.52

B) 1.53

C) 2.68

D) 0.37

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

14) Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places.

(log) with subscript (7)26

A) 1.67

B) 0.60

C) 5.20

D) 2.26

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

15) Use the properties of logarithms to simplify the expression.

(log) with subscript (4)(256) to the ( ) root

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

16) Write the expression as a single logarithm.

ln(x + 9) - 5ln(x - 4)

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Write a logarithmic expression as a single logarithm.

17) Evaluate the logarithm using the change of base formula. Round your answer to two decimal places.

(log) with subscript (1.9)8.1

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

18) If a seismologist records the energy of P waves as 4.1 × (10) with superscript (11) joules and the energy of S waves as 8.4 × (10) with superscript (9) joules, what is the total energy? What would the combined effect be on the Richter scale?

A) Total energy is 4.2 × (10) with superscript (11) joules and 4.8 on the Richter scale.

B) Total energy is 1.3 × (10) with superscript (21) joules and 11.1 on the Richter scale.

C) Total energy is 4.3 × (10) with superscript (2) joules and -1.2 on the Richter scale.

D) Total energy is 3.4 × (10) with superscript (21) joules and 11.4 on the Richter scale.

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Write a logarithmic expression as a single logarithm.

19) Use the properties of logarithms to simplify the expression.

(log) with subscript (11)(11) to the (3) root

A) 3

B) 1/3

C) 1

D) 0

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

20) Evaluate the logarithm using the change of base formula. Round your answer to two decimal places.

(log) with subscript (3)41

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 03

Learning Objective: Evaluate logarithms of a general base (other than base 10 or e).

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Document Type:
DOCX
Chapter Number:
5
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 5 Exponential And Logarithmic Functions
Author:
Cynthia Y. Young

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