Quiz about Logarithms Quiz Review

Question 1

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

Accepted Answer

5

Answer

-1

Answer

4

Answer

1

Question 2

Write as one logarithm. Simplify, if possible.
log₂800 - log₂100

Accepted Answer

3

Answer

8

Answer

-3

Answer

1

Question 3

Evaluate.
log₃81

Accepted Answer

4

Answer

1/4

Answer

-4

Answer

-1/4

Question 4

Evaluate.
3 log₂4

Accepted Answer

6

Answer

3

Answer

2

Answer

4

Question 5

Write in logarithmic form.
5² = 25

Accepted Answer

log₅25 = 2

Answer

log₅2 = 25

Answer

log₂25 = 5

Answer

log₂₅5 = 2

Question 6

Write in logarithmic form.
2^-4 = ¹/₁₆

Accepted Answer

log₂(¹/₁₆) = -4

Answer

log_-4(¹/₁₆) = 2

Answer

log_-4 2 = ¹/₁₆

Answer

log₂(-4) = ¹/₁₆

Question 7

Write in exponential form.
log₂32 = 5

Accepted Answer

25 = 32

Answer

2-5 = 32

Answer

232 = 5

Answer

325 = 2

Question 8

Write in exponential form.
log₂(¹/₈) = -3

Accepted Answer

2^-3 = ¹/₈

Answer

21/8 = -3

Answer

-3² = ¹/₈

Answer

-31/8 = 2

Question 9

Solve for x.
3^x = 27

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 10

State the property (s) used to simplify the expression

6log 2 = log 64

Accepted Answer

Power Property

Answer

Product Property

Answer

Quotient Property

Answer

Product and Power Property

Question 11

State the property (s) used to simplify the expression

log₄20 - 3log₄x = log₄(20/x³)

Accepted Answer

Quotient and Power Property

Answer

Power Property

Answer

Quotient Property

Answer

Product and Power Property

Question 12

Write the logarithm expression as a single logarithm

log₆25 - log₆5

Accepted Answer

log65

Answer

log6125

Answer

log520

Answer

log630

Question 13

Write the logarithm expression as a single logarithm

log₄60 - log₄4 + log₄x

Accepted Answer

log415x

Answer

log415

Answer

log456x

Answer

xlog430

Question 14

Write the logarithm expression as a single logarithm

2log 4 + log 2

Accepted Answer

log 32

Answer

log 8

Answer

log 16

Answer

log 82

Question 15

Write as one logarithm. Simplify, if possible.

log₃9 + log₃27

Accepted Answer

log3243

Answer

log33

Answer

log31/3

Answer

not possible

Question 16

Expand the logarithm expression

log 6x³y

Accepted Answer

log 6 + 3log x + log y

Answer

log 6x³ + log y

Answer

log 6 + log x³ + log y

Answer

3 log 6 + log x + log y

Question 17

Expand the logarithm expression

log 5x/4y

Accepted Answer

(log 5 + log x) - (log 4 + logy)

Answer

log 5x + log 4y

Answer

log 5x - 4log y

Answer

5log x - 4 logy

Question 18

Write as one logarithm. Simplify, if possible.

(log 3 - log 6) + log 2

Accepted Answer

log 1

Answer

log 4

Answer

log 2

Answer

log 6

Question 19

Expand the logarithm expression

log₅5x^-5

Accepted Answer

log₅5 - 5log₅x

Answer

-5(log₅5x)

Answer

-5log₅5 + log₅x

Answer

log525x

Question 20

log₂32=3x

Accepted Answer

5/3

Answer

3/5

Answer

5

Answer

3

Question 21

log₈(4x+4)=2

Accepted Answer

15

Answer

12

Answer

10

Answer

3

Question 22

Log with a base "e" (log_e) is the same thing as...

Accepted Answer

Natural Logarithm (LN)

Answer

"e"

Answer

Common Logarithm (Log)

Answer

Natural Log, base "e"
LN_e

Question 23

Change to Logarithmic Form:
5³ = 125

Accepted Answer

log ₅ 125 = 3

Answer

log₃125 = 5

Answer

log ₅ 3 =125

Answer

log₁₂₅ 3 = 5

Question 24

lnx = -3

Accepted Answer

0.0498

Answer

8.1548

Answer

-8.1548

Answer

-0.0498

Question 25

Solve for x:
4²^x+ 1 = 17

Accepted Answer

x = 1

Answer

x = -1

Answer

x = 2

Answer

x = -2

Question 26

log₆(2x + 3) = 3

Accepted Answer

x = 106.5

Answer

x = 100

Answer

x = 16

Answer

x = 50

Question 27

The inverse function of an exponential function is known as a...?

Accepted Answer

logarithmic function

Answer

quadratic function

Answer

square root function

Answer

absolute value function

Question 28

Solve:
log x + log 8 = 2

Accepted Answer

12.5

Answer

10

Answer

15

Answer

17.5

Question 29

Solve:
lnx = 7.25

Accepted Answer

1408.10

Answer

1330.42

Answer

1264.55

Answer

1182.32

Question 30

Solve the exponential function: 5^x + 7= 32

Accepted Answer

x = 2

Answer

x = 25

Answer

x = 6

Answer

x = 9

Question 31

ln (5x + 6) = 5

Accepted Answer

28.483

Answer

154.413

Answer

30.883

Answer

147.213

Question 32

What is the value of ln(e⁷)

Accepted Answer

7

Answer

2.718...

Answer

1

Answer

Does not exist

Question 33

Solve the following equation for x. Round your solution to two decimal places.
ln3x + ln2x = 3

Accepted Answer

x = 1.83

Answer

x = 12.91

Answer

x = 4.02

Answer

x = 3.35

Question 34

Which of the following is the value of x given;
7e^(3x-5) = 49

Accepted Answer

x = 2.315

Answer

x = 0.681

Answer

x = 2.964

Answer

No Solution

Question 35

Solve for x:

ln(x)=2

Accepted Answer

7.389

Answer

2.234

Answer

3.14

Answer

2

Logarithms Quiz Review

35 questions

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

Write as one logarithm. Simplify, if possible.
log₂800 - log₂100

Evaluate.
log₃81

Evaluate.
3 log₂4

Write in logarithmic form.
5² = 25

Write in logarithmic form.
2^-4 = ¹/₁₆

Write in exponential form.
log₂32 = 5

Write in exponential form.
log₂(¹/₈) = -3

Solve for x.
3^x = 27

State the property (s) used to simplify the expression
6log 2 = log 64

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Logarithms Quiz Review

35 questions

Write as one logarithm. Simplify, if possible.log39 + log327

Write as one logarithm. Simplify, if possible.log2800 - log2100

Evaluate.log381

Evaluate.3 log24

Write in logarithmic form.52 = 25

Write in logarithmic form.2-4 = 1/16

Write in exponential form.log232 = 5

Write in exponential form.log2(1/8) = -3

Solve for x.3x = 27

State the property (s) used to simplify the expression6log 2 = log 64

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Similar Resources on Wayground

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Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

Write as one logarithm. Simplify, if possible.
log₂800 - log₂100

Evaluate.
log₃81

Evaluate.
3 log₂4

Write in logarithmic form.
5² = 25

Write in logarithmic form.
2^-4 = ¹/₁₆

Write in exponential form.
log₂32 = 5

Write in exponential form.
log₂(¹/₈) = -3

Solve for x.
3^x = 27

State the property (s) used to simplify the expression
6log 2 = log 64