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Solving Exponential and Log Functions

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

log2(x+3)=4

a)

16

b)

13

c)

3

d)

10

2.

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

3.

Solve the exponential equation: 2(x5)+6=302^{\left(x-5\right)}+6=30

a)

x=5.67

b)

x=9.58

c)

x=7.64

d)

x=2.31

4.

Solve the exponential equation: 4(x1)=504^{\left(x-1\right)}=50

a)

x=3.82

b)

x=4.56

c)

x=7.56

d)

x=1.61

5.

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

6.
a)
A
b)
B
c)
C
d)
D
7.
a)
A
b)
B
c)
C
d)
D
8.

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

a)

3

b)

12

c)

4

d)

7

9.

logx1000=3

a)

1

b)

10

c)

30

d)

3

10.

log8(4x+4)=2

a)

15

b)

12

c)

10

d)

3

11.

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

a)

4, -2

b)

No Solution

c)

4

d)

-2

12.

The common logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

13.

Solve

a)

8

b)

-8

c)

1/8

d)

-1/8

14.

Solve

a)

1

b)

-1

c)

6

d)

-6

15.

Solve

a)

1/3

b)

-1/3

c)

3

d)

-3