Quiz about solving exponential equations G11

Question 1

Solve 3²⁶ = 3^{4x + 2}

Accepted Answer

x = 6

Answer

x = 5

Answer

x = 3

Answer

x = -4

Question 2

Solve for x:
5^2x = 5^-x

Accepted Answer

0

Answer

-6

Answer

8

Answer

1

Question 3

Solve for x:
(-3)^x = (-3)¹³

Accepted Answer

13

Answer

-3

Answer

x + 13

Answer

x -13

Question 4

8^3x+3 = 8⁶

Accepted Answer

x=1

Answer

x=28

Answer

x=3

Answer

x=12

Question 5

Solve for n:
2³ⁿ = 4

Accepted Answer

2/3

Answer

2

Answer

3

Answer

4

Question 6

Solve: 7^-x = 49

Accepted Answer

-2

Answer

1

Answer

-1

Answer

2

Question 7

Solve for x: 2^x = 16

Accepted Answer

4

Answer

3

Answer

2

Answer

1

Question 8

Solve for x : 4^x = 64

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 9

Solve for x.
3^x = 27

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 10

Sovle for x:
5^{-3x - 1} = 25

Accepted Answer

x = -1

Answer

x = -4

Answer

x = -3

Answer

x = 1

Question 11

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

Accepted Answer

62

Answer

36

Answer

63

Answer

312

Question 12

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

Accepted Answer

2

Answer

8

Answer

4

Answer

Cannot be determined

Question 13

Solve for r:
3^-3r = 3⁵

Accepted Answer

-5/3

Answer

-4

Answer

2

Answer

8

Question 14

Rewrite 64 as a power of 2:

Accepted Answer

$$2^6$$

Answer

$$2^2$$

Answer

$$4^3$$

Answer

$$2^8$$

Question 15

Rewrite

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

Accepted Answer

$$6^{-2}$$

Answer

6

Answer

$$6^2$$

Answer

$$6^6$$

Question 16

Solve for x using the same base method.
(-3)^x = (-3)¹³

Accepted Answer

13

Answer

-3

Answer

x + 13

Answer

x -13

Question 17

Solve for x using the same base method.
3^x-20= 27

Accepted Answer

23

Answer

17

Answer

27

Answer

-7

Question 18

27^2x = 3^x-7

Accepted Answer

-7/5

Answer

-7/3

Answer

-1

Answer

-5/7

Question 19

Solve: 2^x = 4^x+1

Accepted Answer

-2

Answer

2

Answer

-3

Answer

3

Question 20

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

Accepted Answer

x = 5

Answer

x = -5

Answer

x = 1/5

Answer

x = -1/5

Question 21

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

Accepted Answer

x = 12

Answer

x = 4

Answer

x = -4

Answer

x = 1

Question 22

Solve for a:
5^{a + 2} = 1/125

Accepted Answer

-5

Answer

-1

Answer

-6/7

Answer

4

Question 23

Solve: 2^x = 4^x+1

Accepted Answer

x = -2

Answer

x = 2

Answer

x = -3

Answer

x = 3

Question 24

Solve: 7^-x = 49

Accepted Answer

x = -2

Answer

x = 1

Answer

x = -1

Answer

x = 2

Question 25

Sovle for x:
5^{-3x - 1} = 25

Accepted Answer

x = -1

Answer

x = -4

Answer

x = -3

Answer

x = 1

Question 26

Solve for p:
4^p+2 = 64

Accepted Answer

p = 1

Answer

p = -16/9

Answer

p = 8

Answer

p = 7/6

Question 27

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

Accepted Answer

2

Answer

8

Answer

4

Answer

Cannot be determined

Question 28

Solve for x:
12^2x-10 = 1

Accepted Answer

5

Answer

1

Answer

10

Answer

-5

Question 29

Solve the exponential equation:

Accepted Answer

9/4

Answer

-11/4

Answer

6

Answer

8

Question 30

Solve for x: 2²^x+8=16^x

Accepted Answer

x=4

Answer

x=8

Answer

x=2

Answer

x=5

Question 31

Solve for x: 27^2x+1=3^x+18

Accepted Answer

x=3

Answer

x=2

Answer

x=17/5

Answer

x=15

Question 32

Solve

Accepted Answer

3

Answer

2

Answer

-2

Answer

-3

Question 33

Solve

Accepted Answer

-1/3

Answer

-3

Answer

-1

Answer

3

Question 34

Solve

Accepted Answer

9

Answer

-2

Answer

6

Answer

3

Question 35

Solve

Accepted Answer

-5

Answer

-4

Answer

5

Answer

-3

Question 36

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

Accepted Answer

x = 5

Answer

x = -5

Answer

x = 1/5

Answer

x = -1/5

Question 37

Solve for n:
2^-2n = 2⁶

Accepted Answer

n = -3

Answer

n = -1

Answer

n = -7

Answer

n = 5

Question 38

Solve for x:
(-3)^x = (-3)¹³

Accepted Answer

13

Answer

-3

Answer

x + 13

Answer

x -13

Question 39

7ⁿ⁺¹⁰- 8 = 6

Accepted Answer

-8.643

Answer

-7.374

Answer

-7.360

Answer

-8.853

Question 40

43v = 1/4

Accepted Answer

-1/3

Answer

no solution

Answer

1

Answer

-1

Question 41

10^2x+4 =100000

Accepted Answer

x=1/2

Answer

x=7

Answer

x=20

Answer

x=-1/2

Question 42

Question 42.

Accepted Answer

2/3

Answer

1

Answer

-9

Answer

All Real Numbers

Question 43

Solve for x: 2^x+10=8^x+1

Accepted Answer

x=7/2

Answer

x=7

Answer

x=3

Answer

x=-5

Question 44

Solve for x: 3^2x=1/9

Accepted Answer

x=-1

Answer

x=-2

Answer

x=1

Answer

x=2

Question 45

Solve for x: 2^x*2^2x+3=2^6x

Accepted Answer

x=1

Answer

x=4

Answer

x=2

Answer

x=-6

Question 46

Solve for x: 32^x+1=8^x-3

Accepted Answer

x=2

Answer

x=4

Answer

x=5

Answer

x=-1

Question 47

Solve for x: 5^x=1/125

Accepted Answer

x=-3

Answer

x=4

Answer

x=1/3

Answer

x=1

Question 48

Solve 243^-3x-2 = 27^2-2x

Accepted Answer

-16/9

Answer

-9/10

Answer

8

Answer

0

Question 49

Solve equation

Accepted Answer

-1/13

Answer

1/11

Answer

-2/11

Answer

-2

Question 50

Solve for x:
25^2x-14 = 1

Accepted Answer

7

Answer

3

Answer

-3

Answer

-7

Question 51

11^-8x-4=38.5

Accepted Answer

-.1955

Answer

1.236

Answer

1.002

Answer

-.2599

Question 52

To solve 108 = 3(6)^x, what is your first step?

Accepted Answer

divide each side by 3

Answer

subtract 3 from both sides

Answer

multiply by 3 on both sides

Question 53

Question 53.

Accepted Answer

-4/3

Answer

4/3

Answer

3/4

Answer

-3/4

Question 54

Question 54.

Accepted Answer

-1

Answer

2

Answer

-2

Answer

1

Question 55

Question 55.

Accepted Answer

-3/7

Answer

-2

Answer

3/7

Answer

No solution

Question 56

Question 56.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 57

Question 57.

Accepted Answer

.77

Answer

3.83

Answer

2.83

Answer

1.83

Question 58

Question 58.

Accepted Answer

.60

Answer

-.20

Answer

.20

Answer

-.6

Question 59

Solve for x:
4^x- 5 = 12

Accepted Answer

2.044

Answer

0.489

Answer

2.552

Answer

0.893

Question 60

Solve for x:
8^x+1= 3

Accepted Answer

-0.472

Answer

0.528

Answer

0.893

Answer

1.893

Question 61

Question 61.

Accepted Answer

x - 7

Answer

x2 - 7

Answer

x + 7

Answer

x²+ 3x - 54

Question 62

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

Accepted Answer

62

Answer

36

Answer

63

Answer

312

Question 63

10^2x+4 = 10⁵

Accepted Answer

x=1/2

Answer

x=7

Answer

x=20

Answer

x=-1/2

Question 64

5^3-2n = 125

Accepted Answer

0

Answer

5

Answer

1

Answer

5/3

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