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Solving Exponential Equations - Beginner

Total questions: 10

Worksheet time: 26mins

Name
Class
Date
1.

To solve an exponential equation, the (a)   must be the same!

2.

Rewrite 64 as a power of 2:

a)

222^2

b)

262^6

c)

434^3

d)

282^8

3.

Rewrite 1000 as a power of 10:

a)

10310^3

b)

10210^2

c)

101010^{10}

d)

10

4.

Rewrite

 136\frac{1}{36}  as a power of 6. 

a)

6

b)

 626^2  

c)

 666^6  

d)

 626^{-2}  

5.

Name the exponent: 


 72x+37^{2x+3}  

a)

Exponent is 2x

b)

Exponent is 2

c)

Exponent is 3

d)

Exponent is 2x + 3

e)

Exponent is 7

6.

Name the base in the power below: 
 828^{-2}  


a)

Base is -2

b)

Base is 0

c)

Base is 1

d)

Base is 8

e)

Base is 1/8

7.

Rewrite the power below in fraction form:
 737^{-3}  


a)

 173\frac{1}{7^3}  

b)

7

c)

 731\frac{7^3}{1}  

d)

 17\frac{1}{7}  

8.

 76x2=73x+317^{6x-2}=7^{3x+31}  

Solve the exponential equation:

a)

x = 3

b)

x = 11

c)

x = 7

d)

x = -3

9.

 5x24=54x5^{x-24}=5^{4x}  

Solve the exponential equation:

a)

x = 3

b)

x = -8

c)

x = -6

d)

x = -5

10.

 3x+9=3253^{x+9}=3^{25}  

Solve the exponential equation:

a)

x = 16

b)

x = 3

c)

x = 31

d)

x = 5