Exponential And Logarithmic Functions Test Bank Docx Ch.5

College Algebra, 5e (Young)

Chapter 5 Exponential and Logarithmic Functions

5.4 Exponential and Logarithmic Equations

1) Solve the exponential equation exactly for x.

= 216

A) 3/2

B) 217/2

C) 1

D) 2

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

2) Solve the exponential equation exactly for x.

= 5

A) 1/2

B) 2

C) 5

D) 1/5

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

3) Solve the exponential equation exactly for x.

= 49

A) -2

B) 1

C) 3

D) -1

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

4) Solve the exponential equation exactly for x.

= 625

A) 2

B) -4

C) 4

D) 2, -2

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

5) Solve the exponential equation exactly for x.

= 10

A) -4

B) -4, 4

C) 2

D) -2, 2

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

6) Solve the exponential equation. Round your answer to two decimal places.

= 37

A) 1.00

B) 1.08

C) 2.80

D) 0.71

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

7) Solve the exponential equation. Round your answer to two decimal places.

4 = 42

A) 0.90

B) 0.78

C) 3.50

D) 0.34

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

8) Solve the logarithmic equation exactly.

(2x - 8) =

A) 5.5

B) 7

C) 22

D) 6

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve logarithmic equations.

9) Solve the logarithmic equation exactly.

ln(11x + 5) = 4

A)

B)

C)

D) 9995

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve logarithmic equations.

10) Solve the logarithmic equation exactly.

(5x) - (x + 5) = 4

A) -5

B)

C) -

D) no solution

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve logarithmic equations.

11) Solve the logarithmic equation. Round your answer to three decimal places.

ln = 2

A) 0.833, - 0.833

B) 10.000

C) 2.718, -2.718

D) 2.565, -2.565

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve logarithmic equations.

12) Solve the logarithmic equation. Round your answer to three decimal places.

ln(5x) = 2

A) 2.389

B) 1.316

C) 0.400

D) 1.478

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve logarithmic equations.

13) Solve the logarithmic equation. Round your answer to three decimal places.

(5x) - (x + 6) = 5

A) -0.25

B) -6.01

C) -6.209

D) -6

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve logarithmic equations.

14) Solve the exponential equation exactly for x.

= 1,594,323

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

15) Solve the exponential equation. Round your answer to three decimal places.

5 = 19

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

16) Solve the logarithmic equation exactly.

log(2x - 18) = 1

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve logarithmic equations.

17) Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

7 + 3 - 4 = 0

A) 0.571

B) -0.560

C) 1.000

D) 0.000

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

18) Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

= 16

A) 2.031

B) 7.625

C) 2.000

D) 0.693

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

19) Solve the logarithmic equation. Round your answer to three decimal places.

(6 - x) + (4 - 2x) = 5

A) 15.203, -7.223

B) -7.223

C) 15.203

D) 7.391

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve logarithmic equations.

20) If money is invested in a savings account earning 4.5% interest compounded yearly, how many years will pass until the money doubles?

A) 15.75

B) 0.41

C) 0.66

D) 15.40

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve application problems using exponential and logarithmic equations.

21) Solve the exponential equation. Round your answer to two decimal places.

= 0

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve exponential equations.

22) Solve the logarithmic equation. Round the answer to two decimal places if necessary.

(25x + 2) + (x - 3) = 2(5x - 2)

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve logarithmic equations.

23) Solve the logarithmic equation.

- =

Diff: 3 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve logarithmic equations.

24) If a seismologist records the energy of P waves as 4.7 × joules and the energy of S waves as what is the total energy? What would the combined effect be on the Richter scale?

A) Total energy is 4.7 × joules and 5.5 on the Richter scale.

B) Total energy is 1.2 × joules and 11.8 on the Richter scale.

C) Total energy is 2.7 × joules and -0.6 on the Richter scale.

D) Total energy is 3.5 × joules and 12.1 on the Richter scale.

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Solve application problems using exponential and logarithmic equations.

25) A city experienced a major earthquake. The energy released measured Calculate the magnitude of the earthquake using the Richter scale.

A) 10.0

B) 6.7

C) 15.4

D) 12.6

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Evaluate logarithmic expressions exactly by inspection.

26) A substance has an approximate hydrogen ion concentration of about 3.04 × . Calculate its pH value.

A) 8.0

B) 16.2

C) -8.0

D) 74.5

Diff: 2 Var: 1

Chapter/Section: Ch 05, Sec 04

Learning Objective: Evaluate logarithmic expressions exactly by inspection.

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