Quiz about Logarithm Test Review

Question 1

Rewrite 3⁴ = 81 in logarithmic form.

Accepted Answer

log₃81 = 4

Answer

log₃4 = 81

Answer

log₈₁3 = 4

Answer

log₄81 = 3

Question 2

Change to Exponential Form:
log₆36 = 2

Accepted Answer

62=36

Answer

26=36

Answer

362=6

Answer

366=2

Question 3

Rewrite log_pt = m in exponential form.

Accepted Answer

pm = t

Answer

pt = m

Answer

tm = p

Answer

mt = p

Question 4

Evaluate.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 5

Describe the transformations of f(x)= -log₂(x+1)

Accepted Answer

left one & x-axis reflection

Answer

left one & y-axis reflection

Answer

right one & y-axis reflection

Answer

right one & x-axis reflection

Question 6

ln e5=

Accepted Answer

5

Answer

e5

Answer

ln 5

Answer

5e

Question 7

log41 =

Accepted Answer

0

Answer

1

Answer

4

Answer

DNE

Question 8

log (-1) =

Accepted Answer

does not exist

Answer

0.1

Answer

.01

Answer

all real numbers

Question 9

log₅(4x-7)=log₅(x+5)

Accepted Answer

4

Answer

3

Answer

12

Answer

7

Question 10

log381 =

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 11

Expand the logarithm
log₁₀ 7x

Accepted Answer

log₁₀ 7 + log₁₀ x

Answer

(log₁₀ 7)(log₁₀ x)

Answer

7log₁₀ x

Answer

xlog₁₀ 7

Question 12

Expand the logarithm
log₂ 2xy²

Accepted Answer

log₂ 2 + log₂ x + 2log₂ y

Answer

2log₂ 2 + 2log₂ x + 2log₂ y

Answer

log₂ 2 - log₂ x - 2log₂ y

Question 13

Expand the logarithm
log₇ x³/y⁴

Accepted Answer

3log₇ x - 4log₇ y

Answer

log₇ x³ - log₇ y⁴

Answer

log₇ x³ + log₇ y⁴

Answer

(3log₇ x) / (4log₇ y⁾

Question 14

Express as a single logarithm:
5log 2

Accepted Answer

log 32

Answer

log 10

Answer

log 7

Answer

log (5/2)

Question 15

Express as a single logarithm:
log₃ 27 - log₃ 9

Accepted Answer

log3 3

Answer

log3 243

Answer

log3 18

Answer

log3 36

Question 16

Evaluate log 0.001

Accepted Answer

-3

Answer

-2

Answer

1/3

Answer

10

Question 17

Evaluate log₇ 343

Accepted Answer

3

Answer

49

Answer

7

Answer

1

Question 18

Pick the equation that matches the graph

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 19

Describe the transformations of f(x)= -log₂(x+1)

Accepted Answer

left one & over the x-axis

Answer

left 1

Answer

left one & over the y-axis

Answer

right one & over the x axis

Question 20

Expand the logarithm
log₇ x³/y⁴

Accepted Answer

3log₇ x - 4log₇ y

Answer

log₇ x³ - log₇ y⁴

Answer

log₇ x³ + log₇ y⁴

Answer

(3log₇ x) / (4log₇ y⁾

Question 21

Expand the logarithm
log₂ 2xy²

Accepted Answer

log₂ 2 + log₂ x + 2log₂ y

Answer

2log₂ 2 + 2log₂ x + 2log₂ y

Answer

log₂ 2 - log₂ x - 2log₂ y

Question 22

Expand the logarithm
log₁₀ 7x

Accepted Answer

log₁₀ 7 + log₁₀ x

Answer

(log₁₀ 7)(log₁₀ x)

Answer

7log₁₀ x

Answer

xlog₁₀ 7

Question 23

Express as a single logarithm:
log₅ 2 - 2log₅ y

Accepted Answer

log₅ (2/y²)

Answer

log₅ (2/2y)

Answer

log₅ (1/y)

Answer

log₅ (2y²)

Question 24

Express as a single logarithm:
5log 2

Accepted Answer

log 32

Answer

log 10

Answer

log 7

Answer

log (5/2)

Question 25

Match the graph with its equation

Accepted Answer

y = log₅ (x + 1) + 1

Answer

y = log₅ (x - 1) + 1

Answer

y = log₅ (x²) + 1

Answer

y = log₅ (x)-1

Question 26

Match the graph with its equation

Accepted Answer

y = log₄ (x + 2) + 1

Answer

y = log₄ (x)+2

Answer

y = log₄ (x - 1) + 2

Answer

y = log₄ (-x + 2)

Logarithm Test Review

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics