Free Printable November 30 - Extra Credit Assignment

1.

To solve 36 = 6^x, re-write 36 as what base and exponent?

a)

3⁶

b)

6³

c)

6²

d)

3¹²

2.

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

a)

8

b)

4

c)

2

d)

Cannot be determined

3.

Solve: $2^{\left(5x+7\right)}=2^3$

a)

⅘

b)

¼

c)

-⅘

d)

-¼

4.

Solve 3³ = 3^{4x + 2}

a)

¼

b)

-¼

c)

½

d)

-½

5.

Solve for p (hint, can rewrite 4 and 64):

4^p+2 = 64

a)

-16/9

b)

1

c)

8

d)

7/6

6.

$5^{-3x-2}=5^{3x}$

a)

- $\frac{1}{3}$

b)

$\frac{1}{3}$

c)

-3

d)

3

7.

$4^{x-1}=2^6$

a)

5

b)

-4

c)

2

d)

4

8.

Solve for x (hint, cannot change bases to be the same, convert to log...)

$9^{x-2}=1$

a)

No Solution

b)

2

c)

-2

d)

All Real Numbers

9.

$\left(\frac{1}{4}\right)^x=16^{^{ }2x+5}$

a)

4

b)

-5

c)

-2

d)

3

10.

Solve: 9^8-x = 27^x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

11.

Solve for x:
3^2x = 27^{x - 4}

a)

x = 12

b)

x = 4

c)

x = -4

d)

x = 1

12.

Solve the equation. Round to the nearest ten-thousandth. $4^b=73.7$

a)

3.1018

b)

4.3

c)

No Solution

d)

1.8675

13.

Solve the equation. Round your answer to the nearest ten-thousandth. $8^a=12$

a)

2.1681

b)

2.4849

c)

1.0792

d)

1.195

14.

Solve the equation. Round your answer to the nearest ten-thousandth. $8^{10x}=42$

a)

0.1623

b)

0.1797

c)

0.3738

d)

0.3619

15.

Solve the equation. Round your answer to the nearest ten-thousandth. $7^{n+8}=26$

a)

No solution

b)

-4.7419

c)

-6.585

d)

-6.3257

16.

Solve the equation. Round your answer to the nearest ten-thousandth. $9^x-9=23$

a)

1.5051

b)

3.4657

c)

1.5773

d)

No solution

17.

Solve, round your answer to the nearest ten-thousandth.

Hint, you must divide both sides by -7 first!

$-7\left(10^x\right)=-54$

a)

2.0431

b)

1.7481

c)

1.7254

d)

0.8873

18.

Solve the equation. Round your answer to the nearest ten-thousandth. $e^{10v}+6=38$

a)

0.3466

b)

0.1505

c)

0.1182

d)

0.1828

19.

Solve the equation. Round your answer to the nearest ten-thousandth. $19^{x-2}-6=64$

a)

3.8451

b)

7.0233

c)

6.2485

d)

3.4429

20.

Rewrite 64 as a power of 2:

a)

$2^2$

b)

$2^6$

c)

$4^3$

d)

$2^8$

21.

Rewrite 1000 as a power of 10:

a)

$10^3$

b)

$10^2$

c)

$10^{10}$

d)

10

22.

Rewrite

$\frac{1}{36}$ as a power of 6.

a)

$6^2$

b)

$6^6$

c)

$6^{-2}$

23.

Name the exponent:

7^{2x+3}

a)

Exponent is 2x

b)

Exponent is 2

c)

Exponent is 3

d)

Exponent is 2x + 3

e)

Exponent is 7

24.

Name the base number in the power below:

$8^{-2}$

a)

Base is -2

b)

Base is 0

c)

Base is 1

d)

Base is 8

e)

Base is 1/8

25.

$7^{6x-2}=7^{3x+31}$

Solve the exponential equation:

a)

x = 3

b)

x = 11

c)

x = 7

d)

x = -3

26.

Solve the following exponential equation.

a)

-15

b)

-3

c)

7/4

d)

-8

27.

To solve, 16^5x = 64^x+7, what would be the correct set-up?

There is more than one correct answer.

a)

8^2(5x)=8^8(x+7)

b)

4^2(5x)=4^3(x+7)

c)

2^4(5x)=2^6(x+7)

28.

7ⁿ⁺¹⁰- 8 = 6

a)

-7.374

b)

-8.643

c)

-7.360

d)

-8.853

29.

Solve the following exponential equation

(hint, change 49 to base 7...)

$7^{-x}=49$

a)

$x=1$

b)

$x=-1$

c)

$x=2$

d)

$x=-2$

30.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

31.

What do cows drink?

a)

Milk

b)

Apple Juice

c)

Soda

d)

Water

32.

Rewrite in Exponential Form

a)

A

b)

B

c)

C

d)

D

33.

Rewrite in Exponential Form

a)

A

b)

B

c)

C

d)

D

34.

Rewrite in Exponential Form

a)

A

b)

B

c)

C

d)

D

35.

Rewrite in Logarithm Form

a)

A

b)

B

c)

C

d)

D

36.

Rewrite in Logarithmic Form

a)

A

b)

B

c)

C

d)

D

37.

Evaluate

a)

A

b)

B

c)

C

d)

D

38.

Evaluate

a)

A

b)

B

c)

C

d)

D

39.

The common logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

40.

Evaluate.
log₃81

a)

4

b)

¹/₄

c)

-4

d)

-¹/₄

41.

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

a)

2^-3 = ¹/₈

b)

2^1/8= -3

c)

-3² = ¹/₈

d)

-3^1/8 = 2

42.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

43.

Write 10⁴= 10000 in logarithmic form.

a)

log₁₀ 4 = 10000

b)

log₁₀₀₀₀ 4 = 10

c)

log₁₀ 10000 = 4

d)

log₄ 10000 = 10

44.

Evaluate log₇ 343

a)

3

b)

49

c)

7

d)

1

45.

Use the change of base rule to rewrite this problem:

log₆216

a)

log(6)/log(216)

b)

log(216)/log(6)

46.

Rewrite log_vn = a in exponential form.

a)

v^a = n

b)

n^a = v

c)

vⁿ = a

d)

aⁿ = v

47.

Rewrite in exponential form:
log (x) = ¼

a)

x^1/4 = 1

b)

1^x=¼

c)

10^1/4 = x

d)

10^x = ¼

48.

Evaluate the following logarithm:

log₅5

a)

1

b)

0

c)

-1

d)

¹/₂

49.

Evaluate the following logarithm:

log₁₂1

a)

1

b)

0

c)

-1

d)

¹/₂

50.

Evaluate.
log₂16

a)

8

b)

4

c)

2

d)

1/8

51.

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

a)

A

b)

B

c)

C

d)

D

52.

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

a)

A

b)

B

c)

C

d)

D

53.

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

a)

A

b)

B

c)

C

d)

D

54.

Use the change of base rule to rewrite this problem:

log₃64

a)

log(64)/log(3)

b)

log(3)/log(64)

55.

Use the change of base rule to rewrite this problem:

log₅75

a)

log(75)/log(5)

b)

log(5)/log(75)

56.

Use the change of base rule to rewrite this problem:

log₇729

a)

log(7)/log(729)

b)

log(729)/log(7)

57.

The natural logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

58.

How to say christmas?

a)

Navidad

b)

Feliz

c)

Mirra

d)

Christmaterra

59.

Christmas is a

a)

month

b)

holiday

c)

year

60.

Christmas is in the month of

a)

September

b)

June

c)

December

61.

Christmas is in which season?

a)

Summer

b)

Spring

c)

Winter

d)

Fall

62.

This is white and falls from the sky in winter.

a)

Snow

b)

Rain

c)

Wind

d)

Ice

63.

To celebrate Chritmas, many people ____________ a Christmas tree.

a)

decorate

b)

dress

c)

wear

d)

put on

64.

How do you say Merry Christmas in Spanish?

a)

Noel

b)

Feliz Navidad

c)

Buenos Dias

d)

Hola

65.

What is another name for Santa Claus?

a)

Kris Kringle

b)

Old Saint Nick

c)

Father Christmas

d)

All of these

66.

Where does Santa live?

a)

North Pole

b)

Angier

c)

England

67.

Who delivers presents on Christmas Eve?

a)

Spongebob

b)

Santa Claus

c)

Pete the Cat

68.

Who is this?

a)

Santa

b)

Grinch

c)

Frosty Snowman

69.

What is this?

a)

Christmas Tree

b)

Bell

c)

Stocking

70.

When is Christmas Day ?

a)

24th December

b)

26th December

c)

25th December

d)

31st December

71.

Who wrote How the Grinch Stole Christmas?

a)

Charles Dickens

b)

Dr. Seuss

c)

Dr. Phil

d)

J.K. Rowling

72.

In the popular Christmas song, Grandma Got Run Over By A _________? Who ran over Grandma?

a)

GrandPa

b)

Santa Claus

c)

Reindeer

d)

Pickup Truck

73.

What is the name of the main character in the movie Elf?

a)

Bobby

b)

Buddy

c)

Ricky

d)

Charlie

74.

¿Dónde vive Santa Claus?

a)

New York

b)

Manizales

c)

North Pole

d)

London

75.

What movie is this?

a)

IT

b)

SQUID GAME

c)

ANNABELLE

76.

What movie is this?

a)

It

b)

Jurassic Park

c)

Coraline

d)

Spirited Away

77.

What movie is this?

a)

Hellsing

b)

The scream

c)

Parasite

d)

The nightmare before christmas

78.

What movie is this?

a)

IT

b)

Coraline

c)

Scream

d)

Rings

79.

Do you like horror movies?

a)

YES, I LOVE

b)

NO, I AM SCARED.

November 30 - Extra Credit Assignment

Total questions: 79

Worksheet time: 7hrs 35mins

Similar Resources on Wayground