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Solve Logarithmic Equations

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

log7(x2+8) - log78 = log733

a)

2, -2

b)

16,-16

c)

1, -1

d)

No Solution

2.

Solve for x:

log5(4x-7)=log5(x+5)

a)

3

b)

12

c)

4

d)

7

3.

Solve for x:

log4(3x-1)=log4(2x+3)

a)

4

b)

3

c)

1

d)

8

4.

Solve for x:

log2(x+3)=4

a)

16

b)

13

c)

3

d)

10

5.

Solve for x:

log8(4x+4)=2

a)

15

b)

12

c)

10

d)

3

6.

Solve for x:

logx1000=3

a)

1

b)

10

c)

30

d)

3

7.

Solve for x:

log5 (x + 3) = log5 x + log5 3

a)

3/2

b)

9/2

c)

2/3

d)

No Solution

8.

Solve for x:

log2(2) + log2(8x) = 6

a)

x = 3

b)

x = 2

c)

x = 6

d)

x = 4

9.

log(x+6) = 1

a)

4

b)

4.222

c)

-5

d)

-9.550

10.

Log with a base "e" (loge) is the same thing as...

a)

"e"

b)

Natural Logarithm (LN)

c)

Common Logarithm (Log)

d)

Natural Log, base "e"
LNe