EduSahara™ Assignment
Name : Logarithms
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
log
625
125
=
(i)
8.75
(ii)
1.75
(iii)
0.75
(iv)
7.75
(v)
2.75
Question
2
2.
log
25
125
=
(i)
9.5
(ii)
1.5
(iii)
2.5
(iv)
3.5
(v)
0.5
Question
3
3.
log
4096
64
=
(i)
7.5
(ii)
8.5
(iii)
1.5
(iv)
0.5
(v)
2.5
Question
4
4.
log
1296
7776
=
(i)
9.25
(ii)
3.25
(iii)
2.25
(iv)
1.25
(v)
0.25
Question
5
5.
log
729
6561
=
(i)
3.3333
(ii)
1.3333
(iii)
0.3333
(iv)
9.3333
(v)
2.3333
Question
6
6.
log
25
125
=
(i)
3.5
(ii)
1.5
(iii)
0.5
(iv)
2.5
(v)
9.5
Question
7
7.
log
729
81
=
(i)
1.6667
(ii)
7.6667
(iii)
2.6667
(iv)
8.6667
(v)
0.6667
Question
8
8.
log
64
512
=
(i)
1.5
(ii)
9.5
(iii)
2.5
(iv)
0.5
(v)
3.5
Question
9
9.
log
27
81
=
(i)
3.3333
(ii)
0.3333
(iii)
9.3333
(iv)
2.3333
(v)
1.3333
Question
10
10.
log
729
6561
=
(i)
1.3333
(ii)
0.3333
(iii)
3.3333
(iv)
9.3333
(v)
2.3333
Question
11
11.
log
81
243
=
(i)
2.25
(ii)
0.25
(iii)
9.25
(iv)
3.25
(v)
1.25
Question
12
12.
log
16
8
=
(i)
8.75
(ii)
7.75
(iii)
1.75
(iv)
0.75
(v)
2.75
Question
13
13.
The base of
log
8
80
is
(i)
5
(ii)
11
(iii)
8
(iv)
80
(v)
7
Question
14
14.
The base of
log
10
6
7
is
(i)
6
7
(ii)
8
(iii)
10
(iv)
9
(v)
13
Question
15
15.
The base of
log
2.00
7.0000
is
(i)
-1
(ii)
5
(iii)
1
(iv)
2
(v)
7
Question
16
16.
The base of
log
3
47
3
is
(i)
2
(ii)
47
3
(iii)
3
(iv)
3
-1
(v)
5
Question
17
17.
The base of
log
9
10
64
is
(i)
11
10
(ii)
7
10
(iii)
9
10
(iv)
9
8
(v)
64
Question
18
18.
The base of
log
1
3
7
30
is
(i)
7
30
(ii)
1
3
(iii)
1
(iv)
(
-1
3
)
Question
19
19.
The base of
log
3
6
62
10
is
(i)
62
10
(ii)
5
6
(iii)
3
4
(iv)
3
6
(v)
1
6
Question
20
20.
log
6
+
log
6
=
(i)
log
6
3
(ii)
log
6
2
(iii)
log
4
2
(iv)
log
6
(v)
log
8
2
Question
21
21.
log
85
+
log
58
=
(i)
log
4933
(ii)
log
4930
2
(iii)
log
4930
(iv)
log
4929
(v)
log
4928
Question
22
22.
log
4
5
+
log
3
5
=
(i)
log
2
5
(ii)
log
12
23
(iii)
log
12
25
(iv)
log
2
(
12
25
)
(v)
log
14
25
Question
23
23.
log
17
61
+
log
58
81
=
(i)
log
986
4941
(ii)
log
988
4941
(iii)
log
986
4939
(iv)
log
328
1647
(v)
log
2
(
986
4941
)
Question
24
24.
log
6
5
+
log
6
9
=
(i)
log
8
14
(ii)
log
6
14
(iii)
log
6
15
(iv)
log
6
13
(v)
log
4
14
Question
25
25.
log
69
5
+
log
69
5
=
(i)
log
69
11
(ii)
log
69
9
(iii)
log
69
10
(iv)
log
66
10
(v)
log
72
10
Question
26
26.
log
9.0000
+
log
2.0000
=
(i)
log
20.0000
(ii)
log
17.0000
(iii)
log
16.0000
(iv)
log
19.0000
(v)
log
18.0000
Question
27
27.
log
13.0000
+
log
17.0000
=
(i)
log
220.0000
(ii)
log
222.0000
(iii)
log
223.0000
(iv)
log
219.0000
(v)
log
221.0000
Question
28
28.
log
4
+
log
1
=
(i)
log
3
(ii)
log
1
(iii)
log
6
(iv)
log
4
(v)
log
4
2
Question
29
29.
log
90
+
log
50
=
(i)
log
4500
2
(ii)
log
4500
(iii)
log
4503
(iv)
log
4498
(v)
log
4499
Question
30
30.
log
38
89
+
log
30
77
=
(i)
log
1138
6853
(ii)
log
1142
6853
(iii)
log
1140
6853
(iv)
log
2
(
1140
6853
)
(v)
log
1140
6851
Question
31
31.
log
85
2
+
log
85
9
=
(i)
log
85
11
(ii)
log
83
11
(iii)
log
85
12
(iv)
log
85
10
(v)
log
88
11
Question
32
32.
log
1.2800
+
log
18.4000
=
(i)
log
21.5520
(ii)
log
25.5520
(iii)
log
24.5520
(iv)
log
22.5520
(v)
log
23.5520
Question
33
33.
log
87
+
log
90
=
(i)
log
7827
(ii)
log
7830
(iii)
log
7832
(iv)
log
7829
(v)
log
7830
2
Question
34
34.
log
25
29
+
log
4
9
=
(i)
log
100
259
(ii)
log
98
261
(iii)
log
34
87
(iv)
log
2
(
100
261
)
(v)
log
100
261
Question
35
35.
log
86
8
+
log
86
2
=
(i)
log
89
10
(ii)
log
84
10
(iii)
log
86
11
(iv)
log
86
9
(v)
log
86
10
Question
36
36.
log
86.7700
+
log
83.4600
=
(i)
log
7241.8242
(ii)
log
7242.8242
(iii)
log
7239.8242
(iv)
log
7240.8242
(v)
log
7243.8242
Question
37
37.
log
3.0000
+
log
12.0000
=
(i)
log
38.0000
(ii)
log
36.0000
(iii)
log
35.0000
(iv)
log
34.0000
(v)
log
37.0000
Question
38
38.
log
0.6133
+
log
0.6163
=
(i)
log
1.3780
(ii)
log
0.3780
(iii)
log
2.3780
(iv)
log
7.3780
(v)
log
8.3780
Question
39
39.
log
86
7
+
log
86
5
=
(i)
log
86
13
(ii)
log
89
12
(iii)
log
86
11
(iv)
log
84
12
(v)
log
86
12
Question
40
40.
log
48.4900
+
log
10.1900
=
(i)
log
492.1131
(ii)
log
495.1131
(iii)
log
494.1131
(iv)
log
496.1131
(v)
log
493.1131
Question
41
41.
log
11
−
log
74
=
(i)
log
11
72
(ii)
log
13
74
(iii)
log
9
74
(iv)
log
11
74
(v)
log
2
(
11
74
)
Question
42
42.
log
8
15
−
log
25
27
=
(i)
log
2
(
72
125
)
(ii)
log
14
25
(iii)
log
72
125
(iv)
log
24
41
(v)
log
74
125
Question
43
43.
log
10
4
−
log
10
6
=
(i)
log
12
-2
(ii)
log
10
-3
(iii)
log
7
-2
(iv)
log
10
-1
(v)
log
10
-2
Question
44
44.
log
11.0000
−
log
63.0000
=
(i)
log
1.1746
(ii)
log
2.1746
(iii)
log
0.1746
(iv)
log
8.1746
(v)
log
7.1746
Question
45
45.
log
70
−
log
88
=
(i)
log
37
44
(ii)
log
35
44
(iii)
log
5
6
(iv)
log
3
4
(v)
log
2
(
35
44
)
Question
46
46.
log
51
61
−
log
68
93
=
(i)
log
281
244
(ii)
log
277
244
(iii)
log
279
242
(iv)
log
2
(
279
244
)
(v)
log
279
244
Question
47
47.
log
15
6
−
log
15
2
=
(i)
log
13
4
(ii)
log
17
4
(iii)
log
15
4
(iv)
log
15
3
(v)
log
15
5
Question
48
48.
log
76.7000
−
log
98.7700
=
(i)
log
0.7766
(ii)
log
2.7766
(iii)
log
7.7766
(iv)
log
1.7766
(v)
log
8.7766
Question
49
49.
log
69
−
log
35
=
(i)
log
69
35
(ii)
log
23
11
(iii)
log
67
35
(iv)
log
71
35
(v)
log
2
(
69
35
)
Question
50
50.
log
62
75
−
log
32
45
=
(i)
log
19
16
(ii)
log
91
80
(iii)
log
31
26
(iv)
log
93
80
(v)
log
2
(
93
80
)
Question
51
51.
log
62
4
−
log
62
8
=
(i)
log
62
-5
(ii)
log
62
-3
(iii)
log
65
-4
(iv)
log
62
-4
(v)
log
60
-4
Question
52
52.
log
91.9400
−
log
71.9700
=
(i)
log
1.2775
(ii)
log
0.2775
(iii)
log
2.2775
(iv)
log
3.2775
(v)
log
9.2775
Question
53
53.
log
60.0000
−
log
9.0000
=
(i)
log
6.6667
(ii)
log
4.6667
(iii)
log
5.6667
(iv)
log
7.6667
(v)
log
8.6667
Question
54
54.
log
0.6154
−
log
0.7231
=
(i)
log
0.8511
(ii)
log
2.8511
(iii)
log
1.8511
(iv)
log
7.8511
(v)
log
8.8511
Question
55
55.
log
87
2
−
log
87
7
=
(i)
log
87
-4
(ii)
log
84
-5
(iii)
log
87
-5
(iv)
log
90
-5
(v)
log
87
-6
Question
56
56.
log
50.3600
−
log
97.1300
=
(i)
log
0.5185
(ii)
log
2.5185
(iii)
log
8.5185
(iv)
log
7.5185
(v)
log
1.5185
Question
57
57.
The logarithmic notation of
10
5
=
100000
is
(i)
log
7
99997
=
5
(ii)
log
10
99999
=
5
(iii)
log
10
100000
2
=
5
(iv)
log
10
100002
=
5
(v)
log
10
100000
=
5
Question
58
58.
The base exponent form of
log
4
16
=
2
is
(i)
6
2
=
16
(ii)
2
4
=
16
(iii)
4
2
=
16
(iv)
4
=
16
(v)
4
3
=
16
Question
59
59.
log
7
76
3
=
(i)
3
log
7
78
(ii)
3
log
7
76
(iii)
4
log
7
76
(iv)
2
log
7
76
(v)
log
4
73
3
Question
60
60.
log
7
8
72
6
=
(i)
6
log
7
8
75
(ii)
5
log
7
8
72
(iii)
6
log
7
8
72
(iv)
7
log
7
8
72
(v)
log
5
8
69
6
Question
61
61.
log
10
3
84
4
=
(i)
5
log
10
3
84
(ii)
3
log
10
3
84
(iii)
log
8
3
81
4
(iv)
4
log
10
3
84
(v)
4
log
10
3
86
Question
62
62.
log
453
50
49
4
=
(i)
log
451
50
46
4
(ii)
5
log
453
50
49
(iii)
3
log
453
50
49
(iv)
4
log
453
50
49
(v)
4
log
453
50
51
Question
63
63.
log
10
1
=
(i)
log
4
(ii)
log
0
(iii)
log
1
(iv)
log
-2
(v)
log
2
Question
64
64.
log
10
4
9
=
(i)
2
log
2
3
(ii)
3
log
2
3
(iii)
log
2
3
(iv)
2
log
4
3
(v)
2
log
0
Question
65
65.
log
10
135
=
(i)
3
log
3
+
log
2
(ii)
3
log
3
+
2
log
5
(iii)
3
log
6
+
log
5
(iv)
3
log
3
+
log
5
(v)
3
log
3
+
log
4
Question
66
66.
log
10
1215
=
(i)
5
log
1
+
log
5
(ii)
4
log
3
+
log
5
(iii)
5
log
3
+
log
5
(iv)
5
log
3
+
2
log
5
(v)
5
log
5
+
log
5
Question
67
67.
log
18
=
(i)
log
9
÷
log
2
(ii)
log
9
✕
log
2
(iii)
log
9
−
log
2
(iv)
log
9
+
log
2
(v)
2
log
9
Question
68
68.
log
79
86
=
(i)
log
79
+
log
86
(ii)
log
79
÷
log
86
(iii)
log
79
−
log
86
(iv)
log
79
✕
log
86
(v)
86
log
79
Question
69
69.
log
9
57
64
=
(i)
log
57
64
✕
log
9
(ii)
log
57
64
+
log
9
(iii)
log
57
64
−
log
9
(iv)
log
57
64
÷
log
9
(v)
log
9
÷
log
57
64
Question
70
70.
log
9
20
=
(i)
log
9
÷
log
20
(ii)
log
20
−
log
9
(iii)
log
20
+
log
9
(iv)
log
20
÷
log
9
(v)
log
20
✕
log
9
Question
71
71.
log
8.10
90.6500
=
(i)
log
90.6500
÷
log
8.10
(ii)
log
90.6500
+
log
8.10
(iii)
log
8.10
÷
log
90.6500
(iv)
log
90.6500
✕
log
8.10
(v)
log
90.6500
−
log
8.10
Question
72
72.
log
7
10
17
22
=
(i)
log
17
22
−
log
7
10
(ii)
log
17
22
+
log
7
10
(iii)
log
17
22
✕
log
7
10
(iv)
log
7
10
÷
log
17
22
(v)
log
17
22
÷
log
7
10
Question
73
73.
log
8
2
65
5
=
(i)
5
log
65
−
2
log
8
(ii)
2
log
8
÷
5
log
65
(iii)
5
log
65
+
2
log
8
(iv)
5
log
65
✕
2
log
8
(v)
5
log
65
÷
2
log
8
Question
74
74.
log
5
9
29
6
=
(i)
2
3
log
3
26
(ii)
2
3
log
5
32
(iii)
2
3
log
5
29
(iv)
4
3
log
5
29
(v)
2
3
log
5
28
Question
75
75.
log
9
55
=
(i)
log
9
72
÷
log
55
72
(ii)
log
9
72
✕
log
55
72
(iii)
log
9
72
−
log
55
72
(iv)
log
55
72
÷
log
9
72
(v)
log
9
72
+
log
55
72
Question
76
76.
log
9
40
=
(i)
log
9
3
÷
log
3
40
(ii)
log
3
40
✕
log
9
3
(iii)
log
3
40
−
log
9
3
(iv)
log
3
40
÷
log
9
3
(v)
log
3
40
+
log
9
3
Question
77
77.
log
21
2
21
48
=
(i)
26
(ii)
22
(iii)
25
(iv)
23
(v)
24
Assignment Key
1) (iii)
2) (ii)
3) (iv)
4) (iv)
5) (ii)
6) (ii)
7) (v)
8) (i)
9) (v)
10) (i)
11) (v)
12) (iv)
13) (iii)
14) (iii)
15) (iv)
16) (iii)
17) (iii)
18) (ii)
19) (iv)
20) (ii)
21) (iii)
22) (iii)
23) (i)
24) (ii)
25) (iii)
26) (v)
27) (v)
28) (iv)
29) (ii)
30) (iii)
31) (i)
32) (v)
33) (ii)
34) (v)
35) (v)
36) (i)
37) (ii)
38) (ii)
39) (v)
40) (iii)
41) (iv)
42) (iii)
43) (v)
44) (iii)
45) (ii)
46) (v)
47) (iii)
48) (i)
49) (i)
50) (iv)
51) (iv)
52) (i)
53) (i)
54) (i)
55) (iii)
56) (i)
57) (v)
58) (iii)
59) (ii)
60) (iii)
61) (iv)
62) (iv)
63) (iii)
64) (i)
65) (iv)
66) (iii)
67) (iv)
68) (iii)
69) (iv)
70) (iv)
71) (i)
72) (v)
73) (v)
74) (iii)
75) (i)
76) (ii)
77) (v)