EduSahara™ Assignment
Name : Logarithms
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
log
216
1296
=
(i)
0.3333
(ii)
2.3333
(iii)
1.3333
(iv)
9.3333
(v)
3.3333
Question
2
2.
log
1000
10000
=
(i)
1.3333
(ii)
3.3333
(iii)
2.3333
(iv)
9.3333
(v)
0.3333
Question
3
3.
log
64
4096
=
(i)
0
(ii)
4
(iii)
3
(iv)
1
(v)
2
Question
4
4.
log
125
625
=
(i)
2.3333
(ii)
1.3333
(iii)
9.3333
(iv)
3.3333
(v)
0.3333
Question
5
5.
log
16
32
=
(i)
2.25
(ii)
1.25
(iii)
0.25
(iv)
3.25
(v)
9.25
Question
6
6.
log
6561
59049
=
(i)
0.25
(ii)
1.25
(iii)
3.25
(iv)
9.25
(v)
2.25
Question
7
7.
log
2401
49
=
(i)
1.5
(ii)
7.5
(iii)
8.5
(iv)
2.5
(v)
0.5
Question
8
8.
log
1296
7776
=
(i)
3.25
(ii)
0.25
(iii)
1.25
(iv)
9.25
(v)
2.25
Question
9
9.
log
625
125
=
(i)
1.75
(ii)
0.75
(iii)
7.75
(iv)
8.75
(v)
2.75
Question
10
10.
log
16
64
=
(i)
3.5
(ii)
0.5
(iii)
1.5
(iv)
9.5
(v)
2.5
Question
11
11.
log
16
8
=
(i)
2.75
(ii)
1.75
(iii)
7.75
(iv)
0.75
(v)
8.75
Question
12
12.
log
1296
36
=
(i)
0.5
(ii)
2.5
(iii)
1.5
(iv)
7.5
(v)
8.5
Question
13
13.
The base of
log
5
44
is
(i)
5
(ii)
4
(iii)
2
(iv)
44
(v)
8
Question
14
14.
The base of
log
4
29
99
is
(i)
6
(ii)
2
(iii)
29
99
(iv)
3
(v)
4
Question
15
15.
The base of
log
5.00
26.0000
is
(i)
8
(ii)
2
(iii)
26
(iv)
5
(v)
4
Question
16
16.
The base of
log
4
35
3
is
(i)
2
(ii)
6
(iii)
3
(iv)
4
(v)
35
3
Question
17
17.
The base of
log
3
4
76
is
(i)
1
4
(ii)
3
4
(iii)
3
2
(iv)
5
4
(v)
76
Question
18
18.
The base of
log
3
8
37
56
is
(i)
1
8
(ii)
3
8
(iii)
37
56
(iv)
5
8
(v)
1
2
Question
19
19.
The base of
log
2
3
100
10
is
(i)
2
3
(ii)
4
3
(iii)
2
(iv)
100
10
(v)
-2
(
2
3
)
Question
20
20.
log
2
+
log
3
=
(i)
log
4
(ii)
log
5
(iii)
log
6
2
(iv)
log
9
(v)
log
6
Question
21
21.
log
87
+
log
75
=
(i)
log
6528
(ii)
log
6525
2
(iii)
log
6522
(iv)
log
6525
(v)
log
6524
Question
22
22.
log
2
3
+
log
1
2
=
(i)
log
1
3
(ii)
log
2
(
1
3
)
(iii)
log
1
(iv)
log
(
-1
3
)
Question
23
23.
log
13
19
+
log
24
55
=
(i)
log
62
209
(ii)
log
314
1045
(iii)
log
2
(
312
1045
)
(iv)
log
312
1045
(v)
log
312
1043
Question
24
24.
log
5
9
+
log
5
8
=
(i)
log
8
17
(ii)
log
5
17
(iii)
log
2
17
(iv)
log
5
18
(v)
log
5
16
Question
25
25.
log
33
5
+
log
33
8
=
(i)
log
33
12
(ii)
log
33
13
(iii)
log
31
13
(iv)
log
33
14
(v)
log
36
13
Question
26
26.
log
1.0000
+
log
6.0000
=
(i)
log
5.0000
(ii)
log
7.0000
(iii)
log
4.0000
(iv)
log
8.0000
(v)
log
6.0000
Question
27
27.
log
28.0000
+
log
54.0000
=
(i)
log
1512.0000
(ii)
log
1514.0000
(iii)
log
1513.0000
(iv)
log
1511.0000
(v)
log
1510.0000
Question
28
28.
log
2
+
log
5
=
(i)
log
9
(ii)
log
13
(iii)
log
10
(iv)
log
8
(v)
log
10
2
Question
29
29.
log
7
+
log
34
=
(i)
log
241
(ii)
log
236
(iii)
log
237
(iv)
log
238
(v)
log
238
2
Question
30
30.
log
13
18
+
log
26
85
=
(i)
log
19
85
(ii)
log
169
765
(iii)
log
169
763
(iv)
log
2
(
169
765
)
(v)
log
167
765
Question
31
31.
log
77
8
+
log
77
8
=
(i)
log
79
16
(ii)
log
77
15
(iii)
log
77
16
(iv)
log
74
16
(v)
log
77
17
Question
32
32.
log
84.5600
+
log
69.4000
=
(i)
log
5867.4639
(ii)
log
5866.4639
(iii)
log
5868.4639
(iv)
log
5870.4639
(v)
log
5869.4639
Question
33
33.
log
18
+
log
6
=
(i)
log
107
(ii)
log
105
(iii)
log
108
(iv)
log
108
2
(v)
log
111
Question
34
34.
log
7
18
+
log
20
86
=
(i)
log
35
387
(ii)
log
11
129
(iii)
log
1
11
(iv)
log
37
387
(v)
log
2
(
35
387
)
Question
35
35.
log
12
2
+
log
12
5
=
(i)
log
12
6
(ii)
log
15
7
(iii)
log
12
8
(iv)
log
12
7
(v)
log
10
7
Question
36
36.
log
85.7500
+
log
51.7400
=
(i)
log
4438.7051
(ii)
log
4434.7051
(iii)
log
4436.7051
(iv)
log
4435.7051
(v)
log
4437.7051
Question
37
37.
log
4.0000
+
log
91.0000
=
(i)
log
366.0000
(ii)
log
364.0000
(iii)
log
363.0000
(iv)
log
362.0000
(v)
log
365.0000
Question
38
38.
log
0.8947
+
log
0.7619
=
(i)
log
0.6817
(ii)
log
7.6817
(iii)
log
8.6817
(iv)
log
2.6817
(v)
log
1.6817
Question
39
39.
log
41
4
+
log
41
6
=
(i)
log
41
11
(ii)
log
43
10
(iii)
log
39
10
(iv)
log
41
10
(v)
log
41
9
Question
40
40.
log
76.5600
+
log
30.0100
=
(i)
log
2296.5657
(ii)
log
2299.5657
(iii)
log
2298.5657
(iv)
log
2297.5657
(v)
log
2295.5657
Question
41
41.
log
81
−
log
56
=
(i)
log
83
56
(ii)
log
3
2
(iii)
log
79
56
(iv)
log
81
56
(v)
log
2
(
81
56
)
Question
42
42.
log
34
41
−
log
32
49
=
(i)
log
833
656
(ii)
log
835
656
(iii)
log
2
(
833
656
)
(iv)
log
831
656
(v)
log
833
654
Question
43
43.
log
3
8
−
log
3
3
=
(i)
log
3
4
(ii)
log
3
5
(iii)
log
3
3
(iv)
log
5
5
(v)
log
3
6
Question
44
44.
log
71.0000
−
log
44.0000
=
(i)
log
1.6136
(ii)
log
3.6136
(iii)
log
0.6136
(iv)
log
2.6136
(v)
log
9.6136
Question
45
45.
log
57
−
log
77
=
(i)
log
19
25
(ii)
log
2
(
57
77
)
(iii)
log
57
77
(iv)
log
5
7
(v)
log
59
77
Question
46
46.
log
6
7
−
log
58
69
=
(i)
log
209
203
(ii)
log
205
203
(iii)
log
207
203
(iv)
log
69
67
(v)
log
2
(
207
203
)
Question
47
47.
log
91
5
−
log
91
2
=
(i)
log
88
3
(ii)
log
91
2
(iii)
log
94
3
(iv)
log
91
4
(v)
log
91
3
Question
48
48.
log
87.1000
−
log
85.4000
=
(i)
log
3.0199
(ii)
log
1.0199
(iii)
log
0.0199
(iv)
log
9.0199
(v)
log
2.0199
Question
49
49.
log
99
−
log
34
=
(i)
log
2
(
99
34
)
(ii)
log
101
34
(iii)
log
99
32
(iv)
log
99
34
(v)
log
97
34
Question
50
50.
log
54
66
−
log
84
92
=
(i)
log
67
77
(ii)
log
71
77
(iii)
log
69
77
(iv)
log
23
25
(v)
log
2
(
69
77
)
Question
51
51.
log
96
4
−
log
96
6
=
(i)
log
94
-2
(ii)
log
99
-2
(iii)
log
96
-1
(iv)
log
96
-2
(v)
log
96
-3
Question
52
52.
log
64.9700
−
log
44.7000
=
(i)
log
0.4535
(ii)
log
9.4535
(iii)
log
2.4535
(iv)
log
1.4535
(v)
log
3.4535
Question
53
53.
log
41.0000
−
log
100.0000
=
(i)
log
8.4100
(ii)
log
0.4100
(iii)
log
7.4100
(iv)
log
1.4100
(v)
log
2.4100
Question
54
54.
log
0.7143
−
log
0.0769
=
(i)
log
11.2857
(ii)
log
9.2857
(iii)
log
10.2857
(iv)
log
7.2857
(v)
log
8.2857
Question
55
55.
log
84
9
−
log
84
7
=
(i)
log
84
(ii)
log
82
2
(iii)
log
86
2
(iv)
log
84
2
(v)
log
84
3
Question
56
56.
log
48.7900
−
log
72.3200
=
(i)
log
1.6746
(ii)
log
2.6746
(iii)
log
7.6746
(iv)
log
0.6746
(v)
log
8.6746
Question
57
57.
The logarithmic notation of
7
4
=
2401
is
(i)
log
7
2400
=
4
(ii)
log
7
2401
2
=
4
(iii)
log
5
2399
=
4
(iv)
log
7
2404
=
4
(v)
log
7
2401
=
4
Question
58
58.
The base exponent form of
log
4
1024
=
5
is
(i)
4
4
=
1024
(ii)
5
4
=
1024
(iii)
4
6
=
1024
(iv)
7
5
=
1024
(v)
4
5
=
1024
Question
59
59.
log
8
98
6
=
(i)
5
log
8
98
(ii)
6
log
8
98
(iii)
6
log
8
100
(iv)
log
5
96
6
(v)
7
log
8
98
Question
60
60.
log
4
10
63
5
=
(i)
log
1
5
61
5
(ii)
6
log
4
10
63
(iii)
4
log
4
10
63
(iv)
5
log
4
10
66
(v)
5
log
4
10
63
Question
61
61.
log
6
9
62
2
=
(i)
2
log
6
9
65
(ii)
3
log
6
9
62
(iii)
log
6
9
62
(iv)
2
log
6
9
62
(v)
log
3
9
60
2
Question
62
62.
log
103
50
97
2
=
(i)
2
log
103
50
97
(ii)
log
103
50
97
(iii)
log
101
50
94
2
(iv)
3
log
103
50
97
(v)
2
log
103
50
100
Question
63
63.
log
10
36
7
=
(i)
log
2
+
2
log
3
−
log
7
(ii)
3
log
2
+
2
log
3
−
log
7
(iii)
2
log
2
+
2
log
3
−
log
10
(iv)
2
log
2
+
2
log
3
−
log
7
(v)
2
log
2
+
2
log
3
−
log
5
Question
64
64.
log
10
15
4
=
(i)
log
3
+
log
5
−
2
log
2
(ii)
log
2
+
log
5
−
2
log
2
(iii)
log
3
+
2
log
5
−
2
log
2
(iv)
log
3
+
log
5
−
2
log
5
(v)
log
3
+
log
5
−
2
log
-1
Question
65
65.
log
10
112
=
(i)
4
log
2
+
log
5
(ii)
4
log
4
+
log
7
(iii)
4
log
2
+
log
7
(iv)
4
log
2
+
2
log
7
(v)
3
log
2
+
log
7
Question
66
66.
log
10
800
=
(i)
6
log
2
+
2
log
5
(ii)
5
log
2
+
log
5
(iii)
5
log
5
+
2
log
5
(iv)
5
log
-1
+
2
log
5
(v)
5
log
2
+
2
log
5
Question
67
67.
log
195
=
(i)
log
65
÷
log
3
(ii)
3
log
65
(iii)
log
65
−
log
3
(iv)
log
65
✕
log
3
(v)
log
65
+
log
3
Question
68
68.
log
41
76
=
(i)
log
41
÷
log
76
(ii)
log
41
+
log
76
(iii)
76
log
41
(iv)
log
41
−
log
76
(v)
log
41
✕
log
76
Question
69
69.
log
4
1
5
=
(i)
log
1
5
−
log
4
(ii)
log
1
5
✕
log
4
(iii)
log
4
÷
log
1
5
(iv)
log
1
5
+
log
4
(v)
log
1
5
÷
log
4
Question
70
70.
log
10
90
=
(i)
log
90
−
log
10
(ii)
log
90
+
log
10
(iii)
log
10
÷
log
90
(iv)
log
90
✕
log
10
(v)
log
90
÷
log
10
Question
71
71.
log
9.10
47.0300
=
(i)
log
47.0300
✕
log
9.10
(ii)
log
47.0300
÷
log
9.10
(iii)
log
47.0300
−
log
9.10
(iv)
log
47.0300
+
log
9.10
(v)
log
9.10
÷
log
47.0300
Question
72
72.
log
5
8
50
61
=
(i)
log
50
61
✕
log
5
8
(ii)
log
50
61
−
log
5
8
(iii)
log
50
61
+
log
5
8
(iv)
log
50
61
÷
log
5
8
(v)
log
5
8
÷
log
50
61
Question
73
73.
log
9
3
26
7
=
(i)
7
log
26
+
3
log
9
(ii)
7
log
26
÷
3
log
9
(iii)
7
log
26
✕
3
log
9
(iv)
3
log
9
÷
7
log
26
(v)
7
log
26
−
3
log
9
Question
74
74.
log
7
9
5
9
=
(i)
2
log
7
5
(ii)
log
5
3
(iii)
log
7
8
(iv)
log
7
4
(v)
log
7
5
Question
75
75.
log
4
57
=
(i)
log
4
49
÷
log
57
49
(ii)
log
57
49
÷
log
4
49
(iii)
log
4
49
−
log
57
49
(iv)
log
4
49
+
log
57
49
(v)
log
4
49
✕
log
57
49
Question
76
76.
log
6
5
=
(i)
log
7
5
÷
log
6
7
(ii)
log
6
7
÷
log
7
5
(iii)
log
7
5
+
log
6
7
(iv)
log
7
5
−
log
6
7
(v)
log
7
5
✕
log
6
7
Question
77
77.
log
36
19
36
44
=
(i)
4.3158
(ii)
2.3158
(iii)
0.3158
(iv)
1.3158
(v)
3.3158
Assignment Key
1) (iii)
2) (i)
3) (v)
4) (ii)
5) (ii)
6) (ii)
7) (v)
8) (iii)
9) (ii)
10) (iii)
11) (iv)
12) (i)
13) (i)
14) (v)
15) (iv)
16) (iv)
17) (ii)
18) (ii)
19) (i)
20) (v)
21) (iv)
22) (i)
23) (iv)
24) (ii)
25) (ii)
26) (v)
27) (i)
28) (iii)
29) (iv)
30) (ii)
31) (iii)
32) (iii)
33) (iii)
34) (i)
35) (iv)
36) (iii)
37) (ii)
38) (i)
39) (iv)
40) (iv)
41) (iv)
42) (i)
43) (ii)
44) (i)
45) (iii)
46) (iii)
47) (v)
48) (ii)
49) (iv)
50) (iii)
51) (iv)
52) (iv)
53) (ii)
54) (ii)
55) (iv)
56) (iv)
57) (v)
58) (v)
59) (ii)
60) (v)
61) (iv)
62) (i)
63) (iv)
64) (i)
65) (iii)
66) (v)
67) (v)
68) (iv)
69) (v)
70) (v)
71) (ii)
72) (iv)
73) (ii)
74) (v)
75) (i)
76) (v)
77) (ii)