EduSahara™ Assignment
Name : Logarithms
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
log
36
216
=
(i)
3.5
(ii)
1.5
(iii)
0.5
(iv)
9.5
(v)
2.5
Question
2
2.
log
16
64
=
(i)
2.5
(ii)
1.5
(iii)
0.5
(iv)
3.5
(v)
9.5
Question
3
3.
log
64
512
=
(i)
9.5
(ii)
0.5
(iii)
3.5
(iv)
1.5
(v)
2.5
Question
4
4.
log
1296
36
=
(i)
0.5
(ii)
1.5
(iii)
8.5
(iv)
7.5
(v)
2.5
Question
5
5.
log
729
6561
=
(i)
1.3333
(ii)
9.3333
(iii)
2.3333
(iv)
0.3333
(v)
3.3333
Question
6
6.
log
16
256
=
(i)
2
(ii)
0
(iii)
3
(iv)
1
(v)
4
Question
7
7.
log
100
1000
=
(i)
1.5
(ii)
3.5
(iii)
9.5
(iv)
0.5
(v)
2.5
Question
8
8.
log
1000
10000
=
(i)
3.3333
(ii)
1.3333
(iii)
0.3333
(iv)
9.3333
(v)
2.3333
Question
9
9.
log
25
625
=
(i)
0
(ii)
3
(iii)
1
(iv)
4
(v)
2
Question
10
10.
log
4
8
=
(i)
1.5
(ii)
9.5
(iii)
2.5
(iv)
0.5
(v)
3.5
Question
11
11.
log
10000
100000
=
(i)
1.25
(ii)
2.25
(iii)
3.25
(iv)
0.25
(v)
9.25
Question
12
12.
log
625
3125
=
(i)
9.25
(ii)
1.25
(iii)
3.25
(iv)
2.25
(v)
0.25
Question
13
13.
The base of
log
6
48
is
(i)
4
(ii)
9
(iii)
5
(iv)
48
(v)
6
Question
14
14.
The base of
log
5
25
34
is
(i)
2
(ii)
5
(iii)
4
(iv)
7
(v)
25
34
Question
15
15.
The base of
log
5.00
26.0000
is
(i)
2
(ii)
5
(iii)
26
(iv)
4
(v)
7
Question
16
16.
The base of
log
3
25
8
is
(i)
5
(ii)
25
8
(iii)
1
(iv)
2
(v)
3
Question
17
17.
The base of
log
1
5
53
is
(i)
1
3
(ii)
(
-1
5
)
(iii)
1
5
(iv)
53
(v)
3
5
Question
18
18.
The base of
log
8
9
7
66
is
(i)
10
9
(ii)
2
3
(iii)
7
66
(iv)
8
9
(v)
8
7
Question
19
19.
The base of
log
2
4
68
9
is
(i)
2
4
(ii)
1
(iii)
68
9
(iv)
-1
(
2
4
)
Question
20
20.
log
6
+
log
1
=
(i)
log
6
(ii)
log
5
(iii)
log
3
(iv)
log
6
2
(v)
log
8
Question
21
21.
log
19
+
log
35
=
(i)
log
665
2
(ii)
log
668
(iii)
log
663
(iv)
log
664
(v)
log
665
Question
22
22.
log
1
3
+
log
3
5
=
(i)
log
1
5
(ii)
log
2
(
1
5
)
(iii)
log
3
5
(iv)
log
(
-1
5
)
(v)
log
1
3
Question
23
23.
log
3
13
+
log
3
73
=
(i)
log
11
949
(ii)
log
2
(
9
949
)
(iii)
log
9
947
(iv)
log
7
949
(v)
log
9
949
Question
24
24.
log
2
2
+
log
2
10
=
(i)
log
(-1)
12
(ii)
log
5
12
(iii)
log
2
12
(iv)
log
2
13
(v)
log
2
11
Question
25
25.
log
74
2
+
log
74
2
=
(i)
log
71
4
(ii)
log
74
4
(iii)
log
74
5
(iv)
log
74
3
(v)
log
76
4
Question
26
26.
log
2.0000
+
log
3.0000
=
(i)
log
4.0000
(ii)
log
5.0000
(iii)
log
7.0000
(iv)
log
8.0000
(v)
log
6.0000
Question
27
27.
log
22.0000
+
log
31.0000
=
(i)
log
683.0000
(ii)
log
682.0000
(iii)
log
681.0000
(iv)
log
680.0000
(v)
log
684.0000
Question
28
28.
log
10
+
log
8
=
(i)
log
78
(ii)
log
80
2
(iii)
log
79
(iv)
log
80
(v)
log
83
Question
29
29.
log
30
+
log
16
=
(i)
log
477
(ii)
log
479
(iii)
log
480
2
(iv)
log
480
(v)
log
482
Question
30
30.
log
1
2
+
log
5
7
=
(i)
log
5
14
(ii)
log
5
12
(iii)
log
3
14
(iv)
log
2
(
5
14
)
(v)
log
1
2
Question
31
31.
log
19
5
+
log
19
9
=
(i)
log
16
14
(ii)
log
19
15
(iii)
log
19
13
(iv)
log
19
14
(v)
log
22
14
Question
32
32.
log
7.2400
+
log
69.0300
=
(i)
log
500.7772
(ii)
log
499.7772
(iii)
log
501.7772
(iv)
log
498.7772
(v)
log
497.7772
Question
33
33.
log
26
+
log
63
=
(i)
log
1638
2
(ii)
log
1635
(iii)
log
1637
(iv)
log
1640
(v)
log
1638
Question
34
34.
log
33
48
+
log
78
96
=
(i)
log
141
256
(ii)
log
2
(
143
256
)
(iii)
log
143
256
(iv)
log
143
254
(v)
log
145
256
Question
35
35.
log
34
9
+
log
34
2
=
(i)
log
34
10
(ii)
log
31
11
(iii)
log
36
11
(iv)
log
34
11
(v)
log
34
12
Question
36
36.
log
56.8800
+
log
22.6200
=
(i)
log
1288.6256
(ii)
log
1284.6256
(iii)
log
1286.6256
(iv)
log
1285.6256
(v)
log
1287.6256
Question
37
37.
log
55.0000
+
log
11.0000
=
(i)
log
606.0000
(ii)
log
605.0000
(iii)
log
603.0000
(iv)
log
607.0000
(v)
log
604.0000
Question
38
38.
log
0.6522
+
log
0.3043
=
(i)
log
8.1985
(ii)
log
2.1985
(iii)
log
1.1985
(iv)
log
0.1985
(v)
log
7.1985
Question
39
39.
log
46
7
+
log
46
6
=
(i)
log
49
13
(ii)
log
44
13
(iii)
log
46
14
(iv)
log
46
12
(v)
log
46
13
Question
40
40.
log
54.7700
+
log
7.1400
=
(i)
log
389.0578
(ii)
log
391.0578
(iii)
log
392.0578
(iv)
log
393.0578
(v)
log
390.0578
Question
41
41.
log
53
−
log
9
=
(i)
log
2
(
53
9
)
(ii)
log
55
9
(iii)
log
53
9
(iv)
log
53
7
(v)
log
17
3
Question
42
42.
log
47
49
−
log
1
96
=
(i)
log
4514
49
(ii)
log
4512
49
(iii)
log
2
(
4512
49
)
(iv)
log
96
(v)
log
4510
49
Question
43
43.
log
8
8
−
log
8
8
=
(i)
log
8
2
(ii)
log
8
-2
(iii)
log
8
-1
(iv)
log
8
(v)
log
1
Question
44
44.
log
93.0000
−
log
98.0000
=
(i)
log
2.9490
(ii)
log
1.9490
(iii)
log
8.9490
(iv)
log
0.9490
(v)
log
7.9490
Question
45
45.
log
47
−
log
34
=
(i)
log
47
34
(ii)
log
2
(
47
34
)
(iii)
log
45
34
(iv)
log
47
32
(v)
log
49
34
Question
46
46.
log
1
3
−
log
15
67
=
(i)
log
2
(
67
45
)
(ii)
log
67
43
(iii)
log
13
9
(iv)
log
67
45
(v)
log
23
15
Question
47
47.
log
38
9
−
log
38
4
=
(i)
log
38
5
(ii)
log
38
4
(iii)
log
38
6
(iv)
log
40
5
(v)
log
35
5
Question
48
48.
log
12.7200
−
log
13.3500
=
(i)
log
8.9528
(ii)
log
2.9528
(iii)
log
0.9528
(iv)
log
1.9528
(v)
log
7.9528
Question
49
49.
log
54
−
log
77
=
(i)
log
52
77
(ii)
log
2
(
54
77
)
(iii)
log
8
11
(iv)
log
18
25
(v)
log
54
77
Question
50
50.
log
75
94
−
log
36
56
=
(i)
log
173
141
(ii)
log
2
(
175
141
)
(iii)
log
175
139
(iv)
log
175
141
(v)
log
59
47
Question
51
51.
log
65
10
−
log
65
3
=
(i)
log
65
6
(ii)
log
65
8
(iii)
log
65
7
(iv)
log
62
7
(v)
log
67
7
Question
52
52.
log
12.6700
−
log
100.1700
=
(i)
log
1.1265
(ii)
log
8.1265
(iii)
log
0.1265
(iv)
log
2.1265
(v)
log
7.1265
Question
53
53.
log
71.0000
−
log
18.0000
=
(i)
log
3.9444
(ii)
log
4.9444
(iii)
log
1.9444
(iv)
log
5.9444
(v)
log
2.9444
Question
54
54.
log
0.2857
−
log
0.1134
=
(i)
log
3.5195
(ii)
log
0.5195
(iii)
log
2.5195
(iv)
log
4.5195
(v)
log
1.5195
Question
55
55.
log
30
6
−
log
30
7
=
(i)
log
28
-1
(ii)
log
30
-1
(iii)
log
30
-2
(iv)
log
33
-1
(v)
log
31
-1
Question
56
56.
log
71.0200
−
log
99.4400
=
(i)
log
0.7142
(ii)
log
2.7142
(iii)
log
7.7142
(iv)
log
8.7142
(v)
log
1.7142
Question
57
57.
The logarithmic notation of
4
3
=
64
is
(i)
log
4
64
=
3
(ii)
log
1
62
=
3
(iii)
log
4
66
=
3
(iv)
log
4
63
=
3
(v)
log
4
64
2
=
3
Question
58
58.
The base exponent form of
log
10
100000
=
5
is
(i)
10
4
=
100000
(ii)
13
5
=
100000
(iii)
10
6
=
100000
(iv)
5
10
=
100000
(v)
10
5
=
100000
Question
59
59.
log
9
64
5
=
(i)
5
log
9
64
(ii)
5
log
9
66
(iii)
6
log
9
64
(iv)
log
6
62
5
(v)
4
log
9
64
Question
60
60.
log
3
10
10
3
=
(i)
log
1
10
8
3
(ii)
2
log
3
10
10
(iii)
3
log
3
10
10
(iv)
4
log
3
10
10
(v)
3
log
3
10
12
Question
61
61.
log
4
5
74
9
=
(i)
log
1
71
9
(ii)
9
log
4
5
74
(iii)
10
log
4
5
74
(iv)
9
log
4
5
76
(v)
8
log
4
5
74
Question
62
62.
log
709
100
83
6
=
(i)
6
log
709
100
85
(ii)
6
log
709
100
83
(iii)
7
log
709
100
83
(iv)
log
707
100
81
6
(v)
5
log
709
100
83
Question
63
63.
log
10
96
49
=
(i)
4
log
2
+
log
3
−
2
log
7
(ii)
5
log
2
+
log
3
−
2
log
7
(iii)
5
log
2
+
2
log
3
−
2
log
7
(iv)
5
log
2
+
log
3
−
2
log
5
(v)
5
log
2
+
log
3
−
2
log
9
Question
64
64.
log
10
245
288
=
(i)
log
5
+
2
log
7
−
5
log
2
−
2
log
3
(ii)
log
4
+
2
log
7
−
5
log
2
−
2
log
3
(iii)
log
5
+
3
log
7
−
5
log
2
−
2
log
3
(iv)
log
5
+
2
log
7
−
5
log
2
−
2
log
1
(v)
log
5
+
2
log
7
−
5
log
4
−
2
log
3
Question
65
65.
log
10
630
=
(i)
2
log
2
+
2
log
3
+
log
5
+
log
7
(ii)
log
2
+
2
log
3
+
log
5
+
log
7
(iii)
log
2
+
2
log
3
+
log
5
+
log
10
(iv)
log
2
+
2
log
3
+
log
5
+
log
6
(v)
-1
log
2
+
2
log
3
+
log
5
+
log
7
Question
66
66.
log
10
336
=
(i)
3
log
2
+
log
3
+
log
7
(ii)
4
log
2
+
log
3
+
log
5
(iii)
4
log
2
+
2
log
3
+
log
7
(iv)
4
log
2
+
log
3
+
log
9
(v)
4
log
2
+
log
3
+
log
7
Question
67
67.
log
372
=
(i)
log
93
✕
log
4
(ii)
4
log
93
(iii)
log
93
−
log
4
(iv)
log
93
+
log
4
(v)
log
93
÷
log
4
Question
68
68.
log
68
14
=
(i)
14
log
68
(ii)
log
68
−
log
14
(iii)
log
68
÷
log
14
(iv)
log
68
+
log
14
(v)
log
68
✕
log
14
Question
69
69.
log
9
7
22
=
(i)
log
7
22
✕
log
9
(ii)
log
7
22
+
log
9
(iii)
log
7
22
÷
log
9
(iv)
log
7
22
−
log
9
(v)
log
9
÷
log
7
22
Question
70
70.
log
4
66
=
(i)
log
66
✕
log
4
(ii)
log
4
÷
log
66
(iii)
log
66
−
log
4
(iv)
log
66
+
log
4
(v)
log
66
÷
log
4
Question
71
71.
log
7.02
1.9400
=
(i)
log
1.9400
✕
log
7.02
(ii)
log
1.9400
−
log
7.02
(iii)
log
1.9400
+
log
7.02
(iv)
log
1.9400
÷
log
7.02
(v)
log
7.02
÷
log
1.9400
Question
72
72.
log
3
4
54
67
=
(i)
log
54
67
÷
log
3
4
(ii)
log
54
67
+
log
3
4
(iii)
log
54
67
✕
log
3
4
(iv)
log
54
67
−
log
3
4
(v)
log
3
4
÷
log
54
67
Question
73
73.
log
2
4
88
9
=
(i)
9
log
88
✕
4
log
2
(ii)
9
log
88
+
4
log
2
(iii)
9
log
88
÷
4
log
2
(iv)
4
log
2
÷
9
log
88
(v)
9
log
88
−
4
log
2
Question
74
74.
log
8
7
78
7
=
(i)
log
8
80
(ii)
log
8
78
(iii)
log
8
77
(iv)
2
log
8
78
(v)
log
6
75
Question
75
75.
log
6
39
=
(i)
log
6
15
÷
log
39
15
(ii)
log
39
15
÷
log
6
15
(iii)
log
6
15
✕
log
39
15
(iv)
log
6
15
+
log
39
15
(v)
log
6
15
−
log
39
15
Question
76
76.
log
4
58
=
(i)
log
8
58
+
log
4
8
(ii)
log
4
8
÷
log
8
58
(iii)
log
8
58
÷
log
4
8
(iv)
log
8
58
−
log
4
8
(v)
log
8
58
✕
log
4
8
Question
77
77.
log
22
18
22
40
=
(i)
4.2222
(ii)
2.2222
(iii)
3.2222
(iv)
0.2222
(v)
1.2222
Assignment Key
1) (ii)
2) (ii)
3) (iv)
4) (i)
5) (i)
6) (i)
7) (i)
8) (ii)
9) (v)
10) (i)
11) (i)
12) (ii)
13) (v)
14) (ii)
15) (ii)
16) (v)
17) (iii)
18) (iv)
19) (i)
20) (i)
21) (v)
22) (i)
23) (v)
24) (iii)
25) (ii)
26) (v)
27) (ii)
28) (iv)
29) (iv)
30) (i)
31) (iv)
32) (ii)
33) (v)
34) (iii)
35) (iv)
36) (iii)
37) (ii)
38) (iv)
39) (v)
40) (ii)
41) (iii)
42) (ii)
43) (v)
44) (iv)
45) (i)
46) (iv)
47) (i)
48) (iii)
49) (v)
50) (iv)
51) (iii)
52) (iii)
53) (i)
54) (iii)
55) (ii)
56) (i)
57) (i)
58) (v)
59) (i)
60) (iii)
61) (ii)
62) (ii)
63) (ii)
64) (i)
65) (ii)
66) (v)
67) (iv)
68) (ii)
69) (iii)
70) (v)
71) (iv)
72) (i)
73) (iii)
74) (ii)
75) (i)
76) (v)
77) (ii)
