Quiz about Exponentials and Logarithms

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.
log₆3 + log₆2

Accepted Answer

1

Answer

0

Answer

log65

Answer

log61

Question 3

Evaluate.
log₃81

Accepted Answer

4

Answer

1/4

Answer

-4

Answer

-1/4

Question 4

Evaluate.
log₆(¹/₂₁₆)

Accepted Answer

-3

Answer

3

Answer

1/3

Answer

-1/3

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 exponential form.
log₂32 = 5

Accepted Answer

25 = 32

Answer

2-5 = 32

Answer

232 = 5

Answer

325 = 2

Question 7

Rewrite log_pt = m in exponential form.

Accepted Answer

pm = t

Answer

pt = m

Answer

tm = p

Answer

mt = p

Question 8

Rewrite in exponential form.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 9

Expand the logarithm.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 10

Condense into a single logarithm.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 11

Condense into a single logarithm.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 12

Solve the equation.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 13

Solve the equation.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 14

Write as a single logarithm

Accepted Answer

log xyz3

Answer

log (xy/z³)

Answer

log x + log y + log z³

Answer

log x³y³z³

Question 15

Write as a single logarithm

Accepted Answer

log₈ (x⁶/y³)

Answer

log₈(x⁶)/log₈ (y³)

Answer

log₈(x/y³)

Answer

log₈(x⁶y³)

Question 16

Find the value for x to the third decimal place: ln x = 5

Accepted Answer

148.413

Answer

13.591

Answer

100000

Answer

1.610

Question 17

What is the value of ln(e⁷)

Accepted Answer

7

Answer

2.718...

Answer

1

Answer

Does not exist

Question 18

Rewrite in exponential form:
ln(2) = x

Accepted Answer

ex = 2

Answer

2x = 10

Answer

102 = x

Answer

e2 = x

Question 19

Solve the following equation for x. Round your solution to two decimal places.
ln2x - ln41 = 2

Accepted Answer

x = 151.48

Answer

x = 0.36

Answer

x = 41

Answer

None of these are solutions

Question 20

Solve for x:
e^2x = 11

Accepted Answer

x = (LN 11)/2

Answer

x = 2log_e11

Answer

x = 2eLOG 11

Answer

x = LN (11/2)

Question 21

Solve the following equation. Round your solution to two decimal places.
4 - 3 ln(2x + 10) = 12

Accepted Answer

x = -4.97

Answer

x = 2.20

Answer

x = 1.68

Answer

x = -5.00

Exponentials and Logarithms

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