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Worksheets

Solving Equations with Logarithms

Total questions: 15

Worksheet time: 4hrs 31mins

Name
Class
Date
1.

Solve the equation.

a)

0

b)

2/3

c)

3/2

d)

1

2.

Solve the equation.

a)

-2 and 5

b)

5 only

c)

2 and -5

d)

2 only

3.

Solve the equation.

a)

-4 and -7

b)

-4 only

c)

4 and 7

d)

4 only

4.

Solve the equation.

a)

-2

b)

0

c)

1

d)

3

5.

Solve the equation.

a)

2

b)

4

c)

11

d)

236

6.

Solve the equation.

a)

-123

b)

9/2

c)

536

d)

1024

7.

Solve the equation.

a)

-9/4

b)

-5/2

c)

5/2

d)

9/4

8.

Solve the equation.

a)

0

b)

-1

c)

1

d)

2

9.

Solve the equation.

a)

2

b)

19

c)

36

d)

40

10.

Solve the equation.

a)

-1

b)

3/4

c)

7

d)

12

11.

Solve the equation.

a)

2/3

b)

1

c)

3

d)

7

12.

Solve the equation.

a)

2/7

b)

3/7

c)

9/7

d)

13/7

13.

 2(7x)=6862\left(7^x\right)=686  

What would you do first to solve?

a)

Rewrite  7x7^x  in logarithmic form

b)

Multiply both sides by 2

c)

Take the square root of both sides

d)

Divide both sides by 2

14.

Evaluate: 9x+2=119^x+2=11  

a)

6

b)

1

c)

-4

d)

9

15.

 213x=82^{13x}=8  Evaluate:

a)

8192

b)

3

c)

 313\frac{3}{13}  

d)

256