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Worksheets

Exponent and Log Review

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

2.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

3.

Rewrite the equation in exponential form:
 logvn = a

a)

va = n

b)

na = v

c)

vn = a

d)

an = v

4.

Condense logarithm

a)

15log8u + 3log8v

b)

15log8u - 3log8v

c)

log8(u15/v3)

d)

log8u15v3

5.

What is the asymptote for the logarithmic function

f(x)=log(x2)f\left(x\right)=\log\left(x-2\right)  

a)

x = 2

b)

x = -2

c)

y = 2

d)

y = -2

6.

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

7.

Which of the following is an exponential decay model?

a)

y = 3 * (1/2)x

b)

y = 1/2 * (3)x

c)

y = -2 * (2)x

d)

y = -3 * (3/2)x

8.

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

9.

Condense

a)

A

b)

B

c)

C

d)

D

10.

Condense

a)

A

b)

B

c)

C

d)

D

11.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

12.

Anything raised to a power of zero is always: 

a)

0

b)

1

c)

itself

d)

negative

13.

According to exponent rules, when we raise the power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

14.

According to exponent rules, when we multiply the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

15.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

16.

3⁻⁴

a)

1 ⁄ 34

b)

-34

c)

34

d)

1 ⁄ 12

17.

(34x5y6z-7)0

a)

34x5y6 / z7

b)

34x5y6 / x-7

c)

0

d)

1

18.

In 2what is the base?

a)

2

b)

3

c)

23

19.

In 2what is the exponent?

a)

2

b)

3

c)

23

20.

Simplify the exponential expression:

a)

10x-2

b)

2x2

c)

2x12

d)

10x12