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Quiz on Indices and Logarithms

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Simplify : 2³×2⁵

a)

b)

2⁸

c)

2¹⁵

d)

2¹⁰

2.

Evaluate: 5⁷÷5⁴

a)

25

b)

625

c)

1225

d)

125

3.

Which is equal to Log10 100000

a)

5

b)

2

c)

6

d)

1

4.

Express in Logarithm: 81=3⁴

a)

Log4 3=81

b)

Log81 4=3

c)

Log3 81=4

d)

3Log 81= 4

5.

If 7x =343, then x=

a)

b)

-6

c)

5

d)

3

6.

Which is equal to Log10 0.001

a)

4

b)

-1

c)

2

d)

-3

7.

Simplify: 813/4

a)

16

b)

27

c)

¼

d)

9

8.

If Log2 Y=5, what is Y?

a)

125

b)

64

c)

28

d)

32

9.

Given that Log 2=0.3010, Log 3=0.4771 and Log 7= 8451. Evaluate Log 21

a)

9.2345

b)

3.4201

c)

0.3451

d)

1.6232

10.

If 25x-1 = 1/625, then the value of x is

a)

½

b)

-1

c)

4

d)

3/2

11.

Which is not true ?

a)

Xa ÷ Xb =Xa-b

b)

Xa ÷ Xb =Xa+b

c)

X0=2

d)

(Xa)b=Xab

12.

Simplify: 49½

a)

32

b)

81

c)

7

d)

24

13.

Simplify: Log 45-log 15+ Log 2

a)

Log 6

b)

Log 18

c)

Log32

d)

Log75

14.

Simplify: 641/2 × 40 × 44

a)

b)

4⁵

c)

16⁵

d)

2¹¹

15.

Evaluate Log3 8.624

a)

1.9612

b)
  1. 1.0003

c)

3.2005

d)

0.9451