EduSahara™ Worksheet

EduSahara™ Assignment

Name : Logarithms

Chapter : Real Numbers

Grade : SSC Grade X

License : Non Commercial Use

Question 1

1.

log

64

512
=

(i)

1.5
(ii)

0.5
(iii)

3.5
(iv)

2.5
(v)

9.5

Question 2

2.

log

256

64
=

(i)

2.75
(ii)

0.75
(iii)

1.75
(iv)

7.75
(v)

8.75

Question 3

3.

log

1296

36
=

(i)

2.5
(ii)

7.5
(iii)

8.5
(iv)

0.5
(v)

1.5

Question 4

4.

log

100

1000
=

(i)

2.5
(ii)

3.5
(iii)

0.5
(iv)

1.5
(v)

9.5

Question 5

5.

log

64

256
=

(i)

0.3333
(ii)

2.3333
(iii)

9.3333
(iv)

1.3333
(v)

3.3333

Question 6

6.

log

81

243
=

(i)

9.25
(ii)

3.25
(iii)

2.25
(iv)

0.25
(v)

1.25

Question 7

7.

log

4

8
=

(i)

0.5
(ii)

1.5
(iii)

2.5
(iv)

9.5
(v)

3.5

Question 8

8.

log

25

625
=

(i)

1
(ii)

2
(iii)

4
(iv)

3
(v)

0

Question 9

9.

log

216

36
=

(i)

2.6667
(ii)

7.6667
(iii)

0.6667
(iv)

1.6667
(v)

8.6667

Question 10

10.

log

36

216
=

(i)

3.5
(ii)

0.5
(iii)

2.5
(iv)

9.5
(v)

1.5

Question 11

11.

log

36

1296
=

(i)

2
(ii)

1
(iii)

0
(iv)

4
(v)

3

Question 12

12.

log

49

343
=

(i)

1.5
(ii)

2.5
(iii)

9.5
(iv)

3.5
(v)

0.5

Question 13

13.

The base of
log

8

42
is

(i)

42
(ii)

8
(iii)

7
(iv)

11
(v)

5

Question 14

14.

The base of
log

7

15
43
is

(i)

4
(ii)

9
(iii)

15
43
(iv)

7
(v)

6

Question 15

15.

The base of
log

8.00

77.0000
is

(i)

5
(ii)

7
(iii)

8
(iv)

10
(v)

77

Question 16

16.

The base of
log

10

22 4
is

(i)

9
(ii)

13
(iii)

22 4
(iv)

10
(v)

7

Question 17

17.

The base of
log

1
8

49
is

(i)

3
8
(ii)

49
(iii)

1
8
(iv)

1
6
(v)

(
-1
8
)

Question 18

18.

The base of
log

1
5

1
4
is

(i)

3
5
(ii)

(
-1
5
)
(iii)

1
5
(iv)

1
3
(v)

1
4

Question 19

19.

The base of
log

9
10

49 6
is

(i)

7
10
(ii)

9
8
(iii)

9
10
(iv)

11
10
(v)

49 6

Question 20

20.

log

6
+
log

3
=

(i)

log

18 2
(ii)

log

18
(iii)

log

17
(iv)

log

21
(v)

log

15

Question 21

21.

log

36
+
log

94
=

(i)

log

3383
(ii)

log

3384 2
(iii)

log

3384
(iv)

log

3382
(v)

log

3387

Question 22

22.

log

1
3
+
log

2
7
=

(i)

log

4
21
(ii)

log

2
19
(iii)

log

2

(

2
21

)
(iv)

log

-2

(

2
21

)
(v)

log

2
21

Question 23

23.

log

50
77
+
log

26
43
=

(i)

log

1300
3309
(ii)

log

2

(

1300
3311

)
(iii)

log

1300
3311
(iv)

log

118
301
(v)

log

186
473

Question 24

24.

log

3 8
+
log

3 9
=

(i)

log

6 17
(ii)

log

3 15
(iii)

log

3 16
(iv)

log

3 17
(v)

log

3 18

Question 25

25.

log

93 8
+
log

93 7
=

(i)

log

90 15
(ii)

log

93 16
(iii)

log

93 15
(iv)

log

95 15
(v)

log

93 14

Question 26

26.

log

8.0000
+
log

6.0000
=

(i)

log

46.0000
(ii)

log

50.0000
(iii)

log

49.0000
(iv)

log

47.0000
(v)

log

48.0000

Question 27

27.

log

69.0000
+
log

98.0000
=

(i)

log

6760.0000
(ii)

log

6763.0000
(iii)

log

6761.0000
(iv)

log

6762.0000
(v)

log

6764.0000

Question 28

28.

log

3
+
log

7
=

(i)

log

21
(ii)

log

20
(iii)

log

21 2
(iv)

log

23
(v)

log

19

Question 29

29.

log

22
+
log

46
=

(i)

log

1014
(ii)

log

1010
(iii)

log

1012
(iv)

log

1012 2
(v)

log

1011

Question 30

30.

log

11
17
+
log

7
18
=

(i)

log

79
306
(ii)

log

25
102
(iii)

log

77
306
(iv)

log

77
304
(v)

log

2

(

77
306

)

Question 31

31.

log

51 2
+
log

51 7
=

(i)

log

51 10
(ii)

log

53 9
(iii)

log

49 9
(iv)

log

51 8
(v)

log

51 9

Question 32

32.

log

59.4800
+
log

67.0200
=

(i)

log

3988.3496
(ii)

log

3984.3496
(iii)

log

3985.3496
(iv)

log

3986.3496
(v)

log

3987.3496

Question 33

33.

log

26
+
log

75
=

(i)

log

1953
(ii)

log

1950
(iii)

log

1949
(iv)

log

1948
(v)

log

1950 2

Question 34

34.

log

46
79
+
log

51
55
=

(i)

log

2344
4345
(ii)

log

2348
4345
(iii)

log

2346
4345
(iv)

log

2

(

2346
4345

)
(v)

log

2346
4343

Question 35

35.

log

41 2
+
log

41 8
=

(i)

log

41 9
(ii)

log

44 10
(iii)

log

39 10
(iv)

log

41 10
(v)

log

41 11

Question 36

36.

log

67.9400
+
log

85.6000
=

(i)

log

5813.6641
(ii)

log

5816.6641
(iii)

log

5814.6641
(iv)

log

5815.6641
(v)

log

5817.6641

Question 37

37.

log

68.0000
+
log

100.0000
=

(i)

log

6798.0000
(ii)

log

6800.0000
(iii)

log

6801.0000
(iv)

log

6799.0000
(v)

log

6802.0000

Question 38

38.

log

0.0833
+
log

0.3103
=

(i)

log

8.0259
(ii)

log

7.0259
(iii)

log

1.0259
(iv)

log

2.0259
(v)

log

0.0259

Question 39

39.

log

3 2
+
log

3 9
=

(i)

log

3 11
(ii)

log

3 12
(iii)

log

3 10
(iv)

log

5 11
(v)

log

1

Question 40

40.

log

36.5700
+
log

27.6500
=

(i)

log

1011.1605
(ii)

log

1010.1605
(iii)

log

1009.1605
(iv)

log

1013.1605
(v)

log

1012.1605

Question 41

41.

log

98
−
log

81
=

(i)

log

2

(

98
81

)
(ii)

log

32
27
(iii)

log

98
81
(iv)

log

98
79
(v)

log

100
81

Question 42

42.

log

27
47
−
log

3
14
=

(i)

log

2

(

126
47

)
(ii)

log

126
47
(iii)

log

128
47
(iv)

log

14
5
(v)

log

124
47

Question 43

43.

log

10 6
−
log

10 5
=

(i)

log

10
(ii)

log

7
(iii)

log

12
(iv)

log

10 2
(v)

log

9

Question 44

44.

log

46.0000
−
log

82.0000
=

(i)

log

8.5610
(ii)

log

7.5610
(iii)

log

2.5610
(iv)

log

0.5610
(v)

log

1.5610

Question 45

45.

log

84
−
log

90
=

(i)

log

2

(

14
15

)
(ii)

log

14
13
(iii)

log

16
15
(iv)

log

14
15
(v)

log

4
5

Question 46

46.

log

32
35
−
log

6
13
=

(i)

log

2
(ii)

log

208
103
(iii)

log

2

(

208
105

)
(iv)

log

206
105
(v)

log

208
105

Question 47

47.

log

36 8
−
log

36 7
=

(i)

log

34
(ii)

log

36
(iii)

log

35
(iv)

log

38
(v)

log

36 2

Question 48

48.

log

63.7800
−
log

29.3600
=

(i)

log

3.1723
(ii)

log

0.1723
(iii)

log

2.1723
(iv)

log

1.1723
(v)

log

4.1723

Question 49

49.

log

92
−
log

91
=

(i)

log

90
91
(ii)

log

92
89
(iii)

log

92
91
(iv)

log

2

(

92
91

)
(v)

log

94
91

Question 50

50.

log

25
52
−
log

10
29
=

(i)

log

147
104
(ii)

log

11
8
(iii)

log

2

(

145
104

)
(iv)

log

145
102
(v)

log

145
104

Question 51

51.

log

73 9
−
log

73 5
=

(i)

log

73 5
(ii)

log

73 4
(iii)

log

73 3
(iv)

log

71 4
(v)

log

76 4

Question 52

52.

log

49.9700
−
log

91.9500
=

(i)

log

1.5434
(ii)

log

7.5434
(iii)

log

2.5434
(iv)

log

8.5434
(v)

log

0.5434

Question 53

53.

log

82.0000
−
log

54.0000
=

(i)

log

1.5185
(ii)

log

0.5185
(iii)

log

2.5185
(iv)

log

3.5185
(v)

log

9.5185

Question 54

54.

log

0.1277
−
log

0.3556
=

(i)

log

2.3590
(ii)

log

1.3590
(iii)

log

0.3590
(iv)

log

7.3590
(v)

log

8.3590

Question 55

55.

log

59 3
−
log

59 2
=

(i)

log

59
(ii)

log

58
(iii)

log

59 2
(iv)

log

61
(v)

log

56

Question 56

56.

log

81.7000
−
log

5.3300
=

(i)

log

17.3283
(ii)

log

14.3283
(iii)

log

15.3283
(iv)

log

13.3283
(v)

log

16.3283

Question 57

57.

The logarithmic notation of
4 5
=
1024
is

(i)
log

4

1024 2

=

5
(ii)
log

4

1026

=

5
(iii)
log

4

1023

=

5
(iv)
log

4

1024

=

5
(v)
log

1

1021

=

5

Question 58

58.

The base exponent form of
log

4

1024
=
5
is

(i)
4 6

=

1024
(ii)
5 4

=

1024
(iii)
4 4

=

1024
(iv)
6 5

=

1024
(v)
4 5

=

1024

Question 59

59.

log

6

21 9
=

(i)

10

log

6

21
(ii)

9

log

6

24
(iii)

8

log

6

21
(iv)

log

4

18 9
(v)

9

log

6

21

Question 60

60.

log

7
9

47 9
=

(i)

10

log

7
9

47
(ii)

9

log

7
9

47
(iii)

log

5
9

45 9
(iv)

9

log

7
9

50
(v)

8

log

7
9

47

Question 61

61.

log

7 5

18 9
=

(i)

log

5 5

15 9
(ii)

9

log

7 5

21
(iii)

9

log

7 5

18
(iv)

10

log

7 5

18
(v)

8

log

7 5

18

Question 62

62.

log

603
100

15 5
=

(i)

6

log

603
100

15
(ii)

5

log

603
100

18
(iii)

5

log

603
100

15
(iv)

log

601
100

13 5
(v)

4

log

603
100

15

Question 63

63.

log

10

49
32
=

(i)

3

log

7

−

5

log

2
(ii)

2

log

7

−

5

log

2
(iii)

2

log

7

−

2

log

2
(iv)

log

7

−

5

log

2
(v)

2

log

7

−

5

log

4

Question 64

64.

log

10

50
3
=

(i)

2

log

2

+

2

log

5

−

log

3
(ii)

log

2

+

2

log

5

−

log

6
(iii)

log

2

+

2

log

5

−

log

3
(iv)

log

2

+

log

5

−

log

3
(v)

log

2

+

2

log

5

−

-2

log

3

Question 65

65.

log

10

196
=

(i)

2

log

2

+

2

log

10
(ii)

2

log

2

+

2

log

7
(iii)

2

log

2

+

2

log

4
(iv)

2

log

2

+

3

log

7
(v)

2

log

2

+

log

7

Question 66

66.

log

10

1120
=

(i)

5

log

2

+

log

5

+

log

7
(ii)

5

log

2

+

log

2

+

log

7
(iii)

5

log

2

+

log

4

+

log

7
(iv)

5

log

2

+

log

5

+

log

10
(v)

5

log

2

+

2

log

5

+

log

7

Question 67

67.

log

576
=

(i)
64

log

9
(ii)
log

9

÷

log

64
(iii)
log

9

−

log

64
(iv)
log

9

+

log

64
(v)
log

9

✕

log

64

Question 68

68.

log

14
88
=

(i)
88

log

14
(ii)
log

14

−

log

88
(iii)
log

14

+

log

88
(iv)
log

14

✕

log

88
(v)
log

14

÷

log

88

Question 69

69.

log

8

11
17
=

(i)
log

11
17

÷

log

8
(ii)
log

8

÷

log

11
17
(iii)
log

11
17

−

log

8
(iv)
log

11
17

+

log

8
(v)
log

11
17

✕

log

8

Question 70

70.

log

3

4
=

(i)
log

4

−

log

3
(ii)
log

4

+

log

3
(iii)
log

3

÷

log

4
(iv)
log

4

✕

log

3
(v)
log

4

÷

log

3

Question 71

71.

log

2.09

92.9300
=

(i)
log

92.9300

✕

log

2.09
(ii)
log

92.9300

÷

log

2.09
(iii)
log

92.9300

+

log

2.09
(iv)
log

2.09

÷

log

92.9300
(v)
log

92.9300

−

log

2.09

Question 72

72.

log

1
2

17
42
=

(i)
log

1
2

÷

log

17
42
(ii)
log

17
42

+

log

1
2
(iii)
log

17
42

✕

log

1
2
(iv)
log

17
42

−

log

1
2
(v)
log

17
42

÷

log

1
2

Question 73

73.

log

9 5

82 8
=

(i)
5

log

9

÷

8

log

82
(ii)
8

log

82

−

5

log

9
(iii)
8

log

82

÷

5

log

9
(iv)
8

log

82

✕

5

log

9
(v)
8

log

82

+

5

log

9

Question 74

74.

log

7 5

68 3
=

(i)

3
5

log

7

67
(ii)

3
5

log

5

66
(iii)

3
5

log

7

70
(iv)

3
5

log

7

68
(v)

6
5

log

7

68

Question 75

75.

log

3

95
=

(i)
log

3

47

+

log

95

47
(ii)
log

95

47

÷

log

3

47
(iii)
log

3

47

−

log

95

47
(iv)
log

3

47

✕

log

95

47
(v)
log

3

47

÷

log

95

47

Question 76

76.

log

7

95
=

(i)
log

3

95

✕

log

7

3
(ii)
log

3

95

−

log

7

3
(iii)
log

3

95

+

log

7

3
(iv)
log

7

3

÷

log

3

95
(v)
log

3

95

÷

log

7

3

Question 77

77.

log

17 6

17 12
=

(i)

4
(ii)

2
(iii)

0
(iv)

1
(v)

3

Assignment Key