Quiz about Math 4 Quiz Review

Question 1

Rewrite 3⁴ = 81 in logarithmic form.

Accepted Answer

log₃81 = 4

Answer

log₃4 = 81

Answer

log₈₁3 = 4

Answer

log₄81 = 3

Question 2

Evaluate.
log₃81

Accepted Answer

4

Answer

1/4

Answer

-4

Answer

-1/4

Question 3

log₅25 = ?

Accepted Answer

2

Answer

5

Answer

125

Question 4

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 5

Condense: log₂6+log₂3=

Accepted Answer

log218

Answer

log₂2 = 1

Answer

log23

Answer

log29

Question 6

Evaluate the following logarithm:

log₃27

Accepted Answer

3

Answer

2

Answer

-3

Answer

1/3

Question 7

Evaluate the following logarithm:

log₅5

Accepted Answer

1

Answer

0

Answer

-1

Answer

1/2

Question 8

Change to Exponential Form:
log₆36 = 2

Accepted Answer

62=36

Answer

26=36

Answer

362=6

Answer

366=2

Question 9

Using the change of base rule, what is this logarithm equivalent to?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 10

Expand using the properties of Logaritms $$\log_{ }\ \frac{x^3}{y^4z}$$

Accepted Answer

$$3\log_{ }x-4\log_{ }y\ -\log_{ }z$$

Answer

$$\log_{ }x+4\log_{ }y\ +\log_{ }z$$

Answer

$$3\log_{ }x+4\log_{ }y\ +\log_{ }z$$

Answer

$$3\log_{ }x-4\log_{ }y\ +\log_{ }z$$

Question 11

Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7

Accepted Answer

log 98

Answer

log 78

Answer

log 56

Answer

log 45

Question 12

Rewrite the equation in logarithmic form.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 13

Condense into a single logarithm.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 14

Expand . $$\log_6\left(\frac{5x^3}{y}\right)$$

Accepted Answer

$$\log_65+3\log_6x-\log_6y$$

Answer

$$\log_65x^3-\log_6y$$

Answer

$$\log_65+\log_6x^3-\log_6y$$

Answer

$$\log_65+3\log_6x+\log_6y$$

Question 15

Condense into a single logarithm.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 16

Condense. (Be careful with the order of the answer choices, they are at random.)

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 17

Rewrite in exponential form.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 18

Condense into a single log:

$$\log_320-\log_35$$

Accepted Answer

$$\log_34$$

Answer

$$\log_315$$

Answer

$$\log_3100$$

Answer

$$\log_3\frac{1}{4}$$

Question 19

Logarithmic functions are the inverse of _________________

Accepted Answer

exponential functions

Answer

linear functions

Answer

quadratic functions

Answer

cubic functions

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