EduSahara™ Assignment
Name : Logarithms
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
log
625
3125
=
(i)
9.25
(ii)
1.25
(iii)
3.25
(iv)
0.25
(v)
2.25
Question
2
2.
log
27
81
=
(i)
1.3333
(ii)
2.3333
(iii)
9.3333
(iv)
3.3333
(v)
0.3333
Question
3
3.
log
25
125
=
(i)
3.5
(ii)
9.5
(iii)
1.5
(iv)
0.5
(v)
2.5
Question
4
4.
log
256
1024
=
(i)
9.25
(ii)
2.25
(iii)
1.25
(iv)
0.25
(v)
3.25
Question
5
5.
log
1296
36
=
(i)
7.5
(ii)
1.5
(iii)
2.5
(iv)
0.5
(v)
8.5
Question
6
6.
log
625
125
=
(i)
7.75
(ii)
1.75
(iii)
8.75
(iv)
2.75
(v)
0.75
Question
7
7.
log
36
216
=
(i)
1.5
(ii)
3.5
(iii)
2.5
(iv)
0.5
(v)
9.5
Question
8
8.
log
256
16
=
(i)
2.5
(ii)
0.5
(iii)
8.5
(iv)
7.5
(v)
1.5
Question
9
9.
log
49
343
=
(i)
2.5
(ii)
0.5
(iii)
1.5
(iv)
3.5
(v)
9.5
Question
10
10.
log
8
4
=
(i)
8.6667
(ii)
1.6667
(iii)
7.6667
(iv)
2.6667
(v)
0.6667
Question
11
11.
log
64
256
=
(i)
1.3333
(ii)
2.3333
(iii)
0.3333
(iv)
9.3333
(v)
3.3333
Question
12
12.
log
16
64
=
(i)
3.5
(ii)
0.5
(iii)
1.5
(iv)
9.5
(v)
2.5
Question
13
13.
The base of
log
8
29
is
(i)
7
(ii)
8
(iii)
5
(iv)
10
(v)
29
Question
14
14.
The base of
log
8
36
91
is
(i)
36
91
(ii)
8
(iii)
10
(iv)
6
(v)
7
Question
15
15.
The base of
log
6.00
45.0000
is
(i)
4
(ii)
6
(iii)
9
(iv)
45
(v)
5
Question
16
16.
The base of
log
3
54
3
is
(i)
5
(ii)
3
(iii)
1
(iv)
2
(v)
54
3
Question
17
17.
The base of
log
3
7
87
is
(i)
87
(ii)
3
5
(iii)
3
7
(iv)
1
7
(v)
5
7
Question
18
18.
The base of
log
1
2
6
35
is
(i)
(
-1
2
)
(ii)
1
2
(iii)
6
35
(iv)
1
(v)
3
2
Question
19
19.
The base of
log
4
6
61
7
is
(i)
1
3
(ii)
61
7
(iii)
4
6
(iv)
1
Question
20
20.
log
8
+
log
9
=
(i)
log
71
(ii)
log
74
(iii)
log
72
2
(iv)
log
72
(v)
log
69
Question
21
21.
log
39
+
log
92
=
(i)
log
3586
(ii)
log
3590
(iii)
log
3587
(iv)
log
3588
2
(v)
log
3588
Question
22
22.
log
1
2
+
log
3
4
=
(i)
log
1
8
(ii)
log
5
8
(iii)
log
2
(
3
8
)
(iv)
log
1
2
(v)
log
3
8
Question
23
23.
log
3
4
+
log
11
13
=
(i)
log
35
52
(ii)
log
33
50
(iii)
log
2
(
33
52
)
(iv)
log
31
52
(v)
log
33
52
Question
24
24.
log
3
7
+
log
3
4
=
(i)
log
3
12
(ii)
log
1
(iii)
log
6
11
(iv)
log
3
11
(v)
log
3
10
Question
25
25.
log
24
6
+
log
24
8
=
(i)
log
24
14
(ii)
log
24
15
(iii)
log
26
14
(iv)
log
24
13
(v)
log
21
14
Question
26
26.
log
10.0000
+
log
3.0000
=
(i)
log
30.0000
(ii)
log
31.0000
(iii)
log
28.0000
(iv)
log
32.0000
(v)
log
29.0000
Question
27
27.
log
60.0000
+
log
55.0000
=
(i)
log
3301.0000
(ii)
log
3298.0000
(iii)
log
3299.0000
(iv)
log
3302.0000
(v)
log
3300.0000
Question
28
28.
log
8
+
log
10
=
(i)
log
79
(ii)
log
82
(iii)
log
77
(iv)
log
80
2
(v)
log
80
Question
29
29.
log
62
+
log
84
=
(i)
log
5208
(ii)
log
5208
2
(iii)
log
5205
(iv)
log
5210
(v)
log
5207
Question
30
30.
log
39
43
+
log
9
25
=
(i)
log
351
1075
(ii)
log
349
1075
(iii)
log
2
(
351
1075
)
(iv)
log
351
1073
(v)
log
353
1075
Question
31
31.
log
24
2
+
log
24
5
=
(i)
log
26
7
(ii)
log
24
7
(iii)
log
22
7
(iv)
log
24
8
(v)
log
24
6
Question
32
32.
log
80.0700
+
log
24.6400
=
(i)
log
1973.9248
(ii)
log
1974.9248
(iii)
log
1972.9248
(iv)
log
1970.9248
(v)
log
1971.9248
Question
33
33.
log
28
+
log
70
=
(i)
log
1960
2
(ii)
log
1957
(iii)
log
1959
(iv)
log
1960
(v)
log
1962
Question
34
34.
log
23
98
+
log
74
78
=
(i)
log
853
3822
(ii)
log
283
1274
(iii)
log
851
3820
(iv)
log
851
3822
(v)
log
2
(
851
3822
)
Question
35
35.
log
76
9
+
log
76
9
=
(i)
log
74
18
(ii)
log
76
19
(iii)
log
79
18
(iv)
log
76
17
(v)
log
76
18
Question
36
36.
log
100.8700
+
log
57.6100
=
(i)
log
5813.1206
(ii)
log
5812.1206
(iii)
log
5809.1206
(iv)
log
5811.1206
(v)
log
5810.1206
Question
37
37.
log
54.0000
+
log
60.0000
=
(i)
log
3239.0000
(ii)
log
3242.0000
(iii)
log
3238.0000
(iv)
log
3241.0000
(v)
log
3240.0000
Question
38
38.
log
0.8434
+
log
0.2500
=
(i)
log
0.2108
(ii)
log
8.2108
(iii)
log
2.2108
(iv)
log
7.2108
(v)
log
1.2108
Question
39
39.
log
1
+
log
1
=
(i)
log
2
2
(ii)
log
1
(iii)
log
(-1)
2
(iv)
log
4
2
Question
40
40.
log
45.8800
+
log
56.4800
=
(i)
log
2593.3025
(ii)
log
2590.3025
(iii)
log
2592.3025
(iv)
log
2591.3025
(v)
log
2589.3025
Question
41
41.
log
11
−
log
30
=
(i)
log
3
10
(ii)
log
11
28
(iii)
log
2
(
11
30
)
(iv)
log
13
30
(v)
log
11
30
Question
42
42.
log
19
22
−
log
3
44
=
(i)
log
2
(
38
3
)
(ii)
log
38
(iii)
log
12
(iv)
log
40
3
(v)
log
38
3
Question
43
43.
log
9
5
−
log
9
4
=
(i)
log
9
2
(ii)
log
8
(iii)
log
7
(iv)
log
12
(v)
log
9
Question
44
44.
log
57.0000
−
log
1.0000
=
(i)
log
59.0000
(ii)
log
56.0000
(iii)
log
58.0000
(iv)
log
55.0000
(v)
log
57.0000
Question
45
45.
log
75
−
log
71
=
(i)
log
77
71
(ii)
log
2
(
75
71
)
(iii)
log
75
71
(iv)
log
25
23
(v)
log
73
71
Question
46
46.
log
7
9
−
log
5
6
=
(i)
log
14
13
(ii)
log
4
5
(iii)
log
16
15
(iv)
log
2
(
14
15
)
(v)
log
14
15
Question
47
47.
log
99
10
−
log
99
6
=
(i)
log
97
4
(ii)
log
99
4
(iii)
log
99
3
(iv)
log
99
5
(v)
log
101
4
Question
48
48.
log
93.3100
−
log
13.3800
=
(i)
log
6.9738
(ii)
log
7.9738
(iii)
log
4.9738
(iv)
log
8.9738
(v)
log
5.9738
Question
49
49.
log
74
−
log
94
=
(i)
log
37
47
(ii)
log
2
(
37
47
)
(iii)
log
39
47
(iv)
log
35
47
(v)
log
37
45
Question
50
50.
log
38
78
−
log
36
84
=
(i)
log
133
117
(ii)
log
15
13
(iii)
log
131
117
(iv)
log
133
115
(v)
log
2
(
133
117
)
Question
51
51.
log
62
2
−
log
62
9
=
(i)
log
65
-7
(ii)
log
62
-7
(iii)
log
59
-7
(iv)
log
62
-6
(v)
log
62
-8
Question
52
52.
log
71.4200
−
log
56.0600
=
(i)
log
9.2740
(ii)
log
0.2740
(iii)
log
2.2740
(iv)
log
1.2740
(v)
log
3.2740
Question
53
53.
log
51.0000
−
log
5.0000
=
(i)
log
12.2000
(ii)
log
8.2000
(iii)
log
11.2000
(iv)
log
9.2000
(v)
log
10.2000
Question
54
54.
log
0.1875
−
log
0.3750
=
(i)
log
0.5000
(ii)
log
8.5000
(iii)
log
2.5000
(iv)
log
1.5000
(v)
log
7.5000
Question
55
55.
log
90
5
−
log
90
4
=
(i)
log
90
2
(ii)
log
90
(iii)
log
89
(iv)
log
92
(v)
log
88
Question
56
56.
log
54.9600
−
log
97.3300
=
(i)
log
0.5647
(ii)
log
1.5647
(iii)
log
2.5647
(iv)
log
8.5647
(v)
log
7.5647
Question
57
57.
The logarithmic notation of
8
2
=
64
is
(i)
log
8
63
=
2
(ii)
log
8
66
=
2
(iii)
log
6
61
=
2
(iv)
log
8
64
=
2
(v)
log
8
64
2
=
2
Question
58
58.
The base exponent form of
log
3
81
=
4
is
(i)
4
3
=
81
(ii)
3
3
=
81
(iii)
3
4
=
81
(iv)
3
5
=
81
(v)
5
4
=
81
Question
59
59.
log
3
25
7
=
(i)
8
log
3
25
(ii)
7
log
3
27
(iii)
log
1
22
7
(iv)
7
log
3
25
(v)
6
log
3
25
Question
60
60.
log
5
9
35
7
=
(i)
7
log
5
9
37
(ii)
8
log
5
9
35
(iii)
7
log
5
9
35
(iv)
6
log
5
9
35
(v)
log
1
3
33
7
Question
61
61.
log
7
10
8
6
=
(i)
log
4
10
5
6
(ii)
5
log
7
10
8
(iii)
6
log
7
10
8
(iv)
6
log
7
10
10
(v)
7
log
7
10
8
Question
62
62.
log
309
100
73
10
=
(i)
10
log
309
100
76
(ii)
11
log
309
100
73
(iii)
10
log
309
100
73
(iv)
log
307
100
70
10
(v)
9
log
309
100
73
Question
63
63.
log
10
9
14
=
(i)
2
log
3
−
log
2
−
log
4
(ii)
log
3
−
log
2
−
log
7
(iii)
2
log
3
−
log
5
−
log
7
(iv)
2
log
3
−
log
2
−
log
7
(v)
3
log
3
−
log
2
−
log
7
Question
64
64.
log
10
7
30
=
(i)
2
log
7
−
log
2
−
log
3
−
log
5
(ii)
log
6
−
log
2
−
log
3
−
log
5
(iii)
log
7
−
-2
log
2
−
log
3
−
log
5
(iv)
log
7
−
log
4
−
log
3
−
log
5
(v)
log
7
−
log
2
−
log
3
−
log
5
Question
65
65.
log
10
360
=
(i)
4
log
2
+
2
log
3
+
log
5
(ii)
3
log
2
+
2
log
3
+
log
5
(iii)
2
log
2
+
2
log
3
+
log
5
(iv)
3
log
5
+
2
log
3
+
log
5
(v)
3
log
2
+
2
log
3
+
log
3
Question
66
66.
log
10
1176
=
(i)
3
log
2
+
log
3
+
2
log
7
(ii)
3
log
2
+
log
3
+
3
log
7
(iii)
3
log
4
+
log
3
+
2
log
7
(iv)
3
log
2
+
log
1
+
2
log
7
(v)
2
log
2
+
log
3
+
2
log
7
Question
67
67.
log
4307
=
(i)
log
73
−
log
59
(ii)
log
73
÷
log
59
(iii)
59
log
73
(iv)
log
73
+
log
59
(v)
log
73
✕
log
59
Question
68
68.
log
4
20
=
(i)
log
4
÷
log
20
(ii)
20
log
4
(iii)
log
4
✕
log
20
(iv)
log
4
−
log
20
(v)
log
4
+
log
20
Question
69
69.
log
6
2
3
=
(i)
log
2
3
−
log
6
(ii)
log
2
3
+
log
6
(iii)
log
2
3
✕
log
6
(iv)
log
2
3
÷
log
6
(v)
log
6
÷
log
2
3
Question
70
70.
log
5
99
=
(i)
log
99
✕
log
5
(ii)
log
99
+
log
5
(iii)
log
99
−
log
5
(iv)
log
99
÷
log
5
(v)
log
5
÷
log
99
Question
71
71.
log
3.04
21.1800
=
(i)
log
21.1800
−
log
3.04
(ii)
log
21.1800
+
log
3.04
(iii)
log
21.1800
÷
log
3.04
(iv)
log
3.04
÷
log
21.1800
(v)
log
21.1800
✕
log
3.04
Question
72
72.
log
2
3
59
70
=
(i)
log
59
70
+
log
2
3
(ii)
log
59
70
−
log
2
3
(iii)
log
59
70
✕
log
2
3
(iv)
log
59
70
÷
log
2
3
(v)
log
2
3
÷
log
59
70
Question
73
73.
log
7
2
24
9
=
(i)
9
log
24
+
2
log
7
(ii)
2
log
7
÷
9
log
24
(iii)
9
log
24
÷
2
log
7
(iv)
9
log
24
✕
2
log
7
(v)
9
log
24
−
2
log
7
Question
74
74.
log
7
6
66
8
=
(i)
4
3
log
5
63
(ii)
4
3
log
7
65
(iii)
8
3
log
7
66
(iv)
4
3
log
7
68
(v)
4
3
log
7
66
Question
75
75.
log
6
75
=
(i)
log
6
6
−
log
75
6
(ii)
log
6
6
+
log
75
6
(iii)
log
75
6
÷
log
6
6
(iv)
log
6
6
✕
log
75
6
(v)
log
6
6
÷
log
75
6
Question
76
76.
log
9
35
=
(i)
log
9
35
+
log
9
9
(ii)
log
9
35
✕
log
9
9
(iii)
log
9
35
÷
log
9
9
(iv)
log
9
9
÷
log
9
35
(v)
log
9
35
−
log
9
9
Question
77
77.
log
8
18
8
48
=
(i)
2.6667
(ii)
4.6667
(iii)
1.6667
(iv)
0.6667
(v)
3.6667
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (iii)
5) (iv)
6) (v)
7) (i)
8) (ii)
9) (iii)
10) (v)
11) (i)
12) (iii)
13) (ii)
14) (ii)
15) (ii)
16) (ii)
17) (iii)
18) (ii)
19) (iii)
20) (iv)
21) (v)
22) (v)
23) (v)
24) (iv)
25) (i)
26) (i)
27) (v)
28) (v)
29) (i)
30) (i)
31) (ii)
32) (iii)
33) (iv)
34) (iv)
35) (v)
36) (iv)
37) (v)
38) (i)
39) (ii)
40) (iv)
41) (v)
42) (v)
43) (v)
44) (v)
45) (iii)
46) (v)
47) (ii)
48) (i)
49) (i)
50) (i)
51) (ii)
52) (iv)
53) (v)
54) (i)
55) (ii)
56) (i)
57) (iv)
58) (iii)
59) (iv)
60) (iii)
61) (iii)
62) (iii)
63) (iv)
64) (v)
65) (ii)
66) (i)
67) (iv)
68) (iv)
69) (iv)
70) (iv)
71) (iii)
72) (iv)
73) (iii)
74) (v)
75) (v)
76) (ii)
77) (i)