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Worksheets

Exponent with Same Bases

Total questions: 22

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
Solve for x using the same base method.
(-3)x = (-3)13
a)
13
b)
-3
c)
x + 13
d)
x -13
2.
Solve for x using the same base method.
3x-20 = 27
a)
17
b)
27
c)
-7
d)
23
3.
272x = 3x-7
a)
-7/3
b)
-1
c)
-5/7
d)
-7/5
4.
Solve: 2x = 4x+1
a)
-2
b)
2
c)
-3
d)
3
5.

Solve: 98-x = 27x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

6.
Solve for x:
32x = 27x - 4
a)
x = 12
b)
x = 4
c)
x = -4
d)
x = 1
7.
Solve for a:
5a + 2 = 1/125
a)
-1
b)
-6/7
c)
-5
d)
4
8.
Solve 8 = 25x+7
a)
x = ⅘
b)
x = ¼
c)
x = -⅘
d)
x = -¼
9.
Solve: 2x = 4x+1
a)
x = -2
b)
x = 2
c)
x = -3
d)
x = 3
10.
Solve: 7-x = 49
a)
x = 1
b)
x = -1
c)
x = 2
d)
x = -2
11.
Sovle for x:
5-3x - 1 = 25
a)
x = -1
b)
x = -4
c)
x = -3
d)
x = 1
12.
Solve for p:
4p+2 = 64
a)
p = -16/9
b)
p = 1
c)
p = 8
d)
p = 7/6
13.

Solve 33 = (32)2x + 1

a)

x = ¼

b)

x = -¼

c)

x = ½

d)

x = -½

14.
To solve 8 = 25x+7, you would need to re-write 8 as what base?
a)
8
b)
4
c)
2
d)
Cannot be determined
15.
Solve for x:
122x-10 = 1
a)
1
b)
10
c)
-5
d)
5
16.
Solve the exponential equation:
a)
-11/4
b)
6
c)
9/4
d)
8
17.
Solve for x:  22x+8=16x
a)
x=8
b)
x=2
c)
x=4
d)
x=5
18.
Solve for x: 272x+1=3x+18
a)
x=2
b)
x=17/5
c)
x=15
d)
x=3
19.

Solve

a)

2

b)

-2

c)

3

d)

-3

20.

Solve

a)

-1/3

b)

-3

c)

-1

d)

3

21.

Solve

a)

-2

b)

6

c)

9

d)

3

22.

Solve

a)

-4

b)

5

c)

-3

d)

-5