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Worksheets

Logarithm Equations

Total questions: 15

Worksheet time: 2hrs 33mins

Name
Class
Date
1.
Solve log(x) + log(x+3) = 1
a)
5
b)
-2
c)
-5
d)
2
2.
log2(x + 2) + log2x  = 3
a)
-4, 2
b)
-2, 4
c)
2
d)
1
3.
log5(4x-7)=log5(x+5)
a)
3
b)
12
c)
4
d)
7
4.
Solve
a)
A
b)
B
c)
C
d)
D
5.
a)
5
b)
13
c)
84
d)
-20
6.
a)
no solution
b)
only 6
c)
6 and -2
d)
3
7.

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

a)

4

b)

3

c)

1

d)

8

8.

log2(x2 - 6) = log2(2x+2)

a)

4, -2

b)

No Solution

c)

4

d)

-2

9.

log2(x+3)=4

a)

16

b)

13

c)

3

d)

10

10.

logx1000=3

a)

1

b)

10

c)

30

d)

3

11.

log8(4x+4)=2

a)

15

b)

12

c)

10

d)

3

12.
a)

x is undefined

b)

x = 2

c)

x= 0.4

d)

x = 33

13.
a)

x = 5 and x = -2

b)

x = -2

c)

x = 5

d)

x = -10 and x = 10

14.
a)

x = 21

b)

x= 49/3

c)

x = 49

d)

x = 147

15.
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