EduSahara™ Assignment
Name : Simplification
Chapter : Logarithms
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
log
4
+
log
2
=
(i)
log
8
2
(ii)
log
5
(iii)
log
11
(iv)
log
8
(v)
log
7
Question
2
2.
log
63
+
log
58
=
(i)
log
3653
(ii)
log
3652
(iii)
log
3654
(iv)
log
3656
(v)
log
3654
2
Question
3
3.
log
7
2
+
log
7
6
=
(i)
log
7
8
(ii)
log
7
7
(iii)
log
4
8
(iv)
log
7
9
(v)
log
9
8
Question
4
4.
log
67
4
+
log
67
9
=
(i)
log
67
14
(ii)
log
67
13
(iii)
log
70
13
(iv)
log
64
13
(v)
log
67
12
Question
5
5.
log
92
−
log
86
=
(i)
log
46
43
(ii)
log
2
(
46
43
)
(iii)
log
46
41
(iv)
log
48
43
(v)
log
44
43
Question
6
6.
log
49
−
log
2
=
(i)
log
49
(ii)
log
47
2
(iii)
log
2
(
49
2
)
(iv)
log
49
2
(v)
log
51
2
Question
7
7.
log
46
−
log
100
=
(i)
log
2
(
23
50
)
(ii)
log
23
50
(iii)
log
1
2
(iv)
log
23
48
(v)
log
21
50
Question
8
8.
log
10
60
=
(i)
2
log
2
+
log
3
+
log
3
(ii)
2
log
2
+
log
2
+
log
5
(iii)
2
log
2
+
log
3
+
log
8
(iv)
2
log
2
+
2
log
3
+
log
5
(v)
2
log
2
+
log
3
+
log
5
Question
9
9.
log
10
1701
=
(i)
5
log
3
+
log
10
(ii)
5
log
3
+
2
log
7
(iii)
5
log
3
+
log
6
(iv)
5
log
3
+
log
4
(v)
5
log
3
+
log
7
Question
10
10.
log
8514
=
(i)
86
log
99
(ii)
log
99
+
log
86
(iii)
log
99
÷
log
86
(iv)
log
99
−
log
86
(v)
log
99
✕
log
86
Question
11
11.
log
5
59
=
(i)
log
59
÷
log
5
(ii)
log
59
−
log
5
(iii)
log
5
÷
log
59
(iv)
log
59
✕
log
5
(v)
log
59
+
log
5
Question
12
12.
log
10
90
=
(i)
log
10
75
✕
log
90
75
(ii)
log
10
75
−
log
90
75
(iii)
log
90
75
÷
log
10
75
(iv)
log
10
75
+
log
90
75
(v)
log
10
75
÷
log
90
75
Question
13
13.
log
4
52
=
(i)
log
4
4
÷
log
4
52
(ii)
log
4
52
+
log
4
4
(iii)
log
4
52
÷
log
4
4
(iv)
log
4
52
−
log
4
4
(v)
log
4
52
✕
log
4
4
Question
14
14.
log
4
9
+
log
1
5
=
(i)
log
2
(
4
45
)
(ii)
log
4
45
(iii)
log
2
45
(iv)
log
4
43
(v)
log
2
15
Question
15
15.
log
21
53
+
log
2
7
=
(i)
log
8
53
(ii)
log
2
17
(iii)
log
2
(
6
53
)
(iv)
log
6
53
(v)
log
4
53
Question
16
16.
log
7
7
+
log
7
8
=
(i)
log
7
16
(ii)
log
7
14
(iii)
log
4
15
(iv)
log
7
15
(v)
log
9
15
Question
17
17.
log
68
9
+
log
68
4
=
(i)
log
71
13
(ii)
log
66
13
(iii)
log
68
13
(iv)
log
68
14
(v)
log
68
12
Question
18
18.
log
5.0000
+
log
3.0000
=
(i)
log
14.0000
(ii)
log
13.0000
(iii)
log
17.0000
(iv)
log
16.0000
(v)
log
15.0000
Question
19
19.
log
63.0000
+
log
83.0000
=
(i)
log
5227.0000
(ii)
log
5228.0000
(iii)
log
5230.0000
(iv)
log
5231.0000
(v)
log
5229.0000
Question
20
20.
log
5
+
log
4
=
(i)
log
20
2
(ii)
log
20
(iii)
log
19
(iv)
log
17
(v)
log
22
Question
21
21.
log
41
+
log
64
=
(i)
log
2623
(ii)
log
2624
(iii)
log
2627
(iv)
log
2622
(v)
log
2624
2
Question
22
22.
log
5
6
+
log
3
5
=
(i)
log
1
(ii)
log
1
2
(iii)
log
3
2
(iv)
log
2
(
1
2
)
(v)
log
(
-1
2
)
Question
23
23.
log
64
6
+
log
64
10
=
(i)
log
64
15
(ii)
log
64
16
(iii)
log
64
17
(iv)
log
67
16
(v)
log
62
16
Question
24
24.
log
74
+
log
94
=
(i)
log
6956
(ii)
log
6954
(iii)
log
6955
(iv)
log
6959
(v)
log
6956
2
Question
25
25.
log
19
100
+
log
64
90
=
(i)
log
154
1125
(ii)
log
152
1123
(iii)
log
152
1125
(iv)
log
2
(
152
1125
)
(v)
log
2
15
Question
26
26.
log
63
2
+
log
63
9
=
(i)
log
60
11
(ii)
log
63
12
(iii)
log
66
11
(iv)
log
63
10
(v)
log
63
11
Question
27
27.
log
61.0000
+
log
99.0000
=
(i)
log
6039.0000
(ii)
log
6041.0000
(iii)
log
6040.0000
(iv)
log
6037.0000
(v)
log
6038.0000
Question
28
28.
log
0.1111
+
log
0.9107
=
(i)
log
2.1012
(ii)
log
8.1012
(iii)
log
0.1012
(iv)
log
7.1012
(v)
log
1.1012
Question
29
29.
log
98
5
+
log
98
2
=
(i)
log
100
7
(ii)
log
95
7
(iii)
log
98
7
(iv)
log
98
8
(v)
log
98
6
Question
30
30.
log
2
5
−
log
5
28
=
(i)
log
56
25
(ii)
log
2
(
56
25
)
(iii)
log
54
25
(iv)
log
58
25
(v)
log
56
23
Question
31
31.
log
8
7
−
log
8
9
=
(i)
log
8
-1
(ii)
log
8
-2
(iii)
log
8
-3
(iv)
log
10
-2
(v)
log
6
-2
Question
32
32.
log
73.0000
−
log
8.0000
=
(i)
log
8.1250
(ii)
log
10.1250
(iii)
log
9.1250
(iv)
log
7.1250
(v)
log
11.1250
Question
33
33.
log
6
7
−
log
1
3
=
(i)
log
2
(
18
7
)
(ii)
log
18
7
(iii)
log
20
7
(iv)
log
16
7
(v)
log
18
5
Question
34
34.
log
18
4
−
log
18
2
=
(i)
log
18
(ii)
log
18
2
(iii)
log
15
2
(iv)
log
18
3
(v)
log
20
2
Question
35
35.
log
68.4300
−
log
95.6300
=
(i)
log
0.7156
(ii)
log
7.7156
(iii)
log
1.7156
(iv)
log
8.7156
(v)
log
2.7156
Question
36
36.
log
19
67
−
log
3
12
=
(i)
log
76
67
(ii)
log
2
(
76
67
)
(iii)
log
78
67
(iv)
log
74
67
(v)
log
76
65
Question
37
37.
log
19
8
−
log
19
9
=
(i)
log
16
-1
(ii)
log
19
-1
(iii)
log
21
-1
(iv)
log
20
-1
(v)
log
19
-2
Question
38
38.
log
70.5500
−
log
66.6500
=
(i)
log
2.0585
(ii)
log
0.0585
(iii)
log
9.0585
(iv)
log
1.0585
(v)
log
3.0585
Question
39
39.
log
70
10
−
log
70
9
=
(i)
log
73
(ii)
log
70
2
(iii)
log
68
(iv)
log
70
(v)
log
69
Question
40
40.
log
2
9
6
=
(i)
5
log
2
9
(ii)
6
log
2
9
(iii)
7
log
2
9
(iv)
log
2
-1
6
6
(v)
6
log
2
12
Question
41
41.
log
10
16
5
=
(i)
5
log
2
−
log
5
(ii)
4
log
2
−
log
5
(iii)
3
log
2
−
log
5
(iv)
4
log
2
−
log
7
(v)
4
log
2
−
log
2
Question
42
42.
log
10
9
16
=
(i)
2
log
3
4
(ii)
2
log
1
4
(iii)
3
log
3
4
(iv)
log
3
4
(v)
2
log
5
4
Question
43
43.
log
10
160
=
(i)
5
log
2
+
2
log
5
(ii)
5
log
2
+
log
5
(iii)
5
log
2
+
log
3
(iv)
4
log
2
+
log
5
(v)
5
log
4
+
log
5
Question
44
44.
log
10
2560
=
(i)
9
log
4
+
log
5
(ii)
9
log
2
+
log
5
(iii)
10
log
2
+
log
5
(iv)
9
log
2
+
log
4
(v)
9
log
2
+
log
2
Question
45
45.
log
574
=
(i)
log
82
−
log
7
(ii)
7
log
82
(iii)
log
82
✕
log
7
(iv)
log
82
+
log
7
(v)
log
82
÷
log
7
Question
46
46.
log
38
67
=
(i)
log
38
✕
log
67
(ii)
log
38
÷
log
67
(iii)
log
38
−
log
67
(iv)
log
38
+
log
67
(v)
67
log
38
Question
47
47.
log
9
1
2
=
(i)
log
9
÷
log
1
2
(ii)
log
1
2
+
log
9
(iii)
log
1
2
−
log
9
(iv)
log
1
2
✕
log
9
(v)
log
1
2
÷
log
9
Question
48
48.
log
6
91
=
(i)
log
6
÷
log
91
(ii)
log
91
✕
log
6
(iii)
log
91
−
log
6
(iv)
log
91
+
log
6
(v)
log
91
÷
log
6
Question
49
49.
log
10.04
43.8500
=
(i)
log
43.8500
÷
log
10.04
(ii)
log
43.8500
✕
log
10.04
(iii)
log
43.8500
+
log
10.04
(iv)
log
43.8500
−
log
10.04
(v)
log
10.04
÷
log
43.8500
Question
50
50.
log
1
10
3
17
=
(i)
log
1
10
÷
log
3
17
(ii)
log
3
17
+
log
1
10
(iii)
log
3
17
−
log
1
10
(iv)
log
3
17
÷
log
1
10
(v)
log
3
17
✕
log
1
10
Question
51
51.
log
10
6
57
9
=
(i)
9
log
57
✕
6
log
10
(ii)
9
log
57
+
6
log
10
(iii)
9
log
57
÷
6
log
10
(iv)
9
log
57
−
6
log
10
(v)
6
log
10
÷
9
log
57
Question
52
52.
log
6
6
25
7
=
(i)
7
6
log
6
27
(ii)
7
3
log
6
25
(iii)
7
6
log
4
22
(iv)
7
6
log
6
25
(v)
7
6
log
6
24
Question
53
53.
log
3
93
=
(i)
log
3
15
÷
log
93
15
(ii)
log
3
15
−
log
93
15
(iii)
log
3
15
✕
log
93
15
(iv)
log
3
15
+
log
93
15
(v)
log
93
15
÷
log
3
15
Question
54
54.
log
3
44
=
(i)
log
3
10
÷
log
10
44
(ii)
log
10
44
+
log
3
10
(iii)
log
10
44
÷
log
3
10
(iv)
log
10
44
✕
log
3
10
(v)
log
10
44
−
log
3
10
Question
55
55.
log
4
3
4
20
=
(i)
6.6667
(ii)
5.6667
(iii)
8.6667
(iv)
7.6667
(v)
4.6667
Question
56
56.
log
9.6600
+
log
7.0400
=
(i)
log
68.0064
(ii)
log
66.0064
(iii)
log
70.0064
(iv)
log
69.0064
(v)
log
67.0064
Question
57
57.
log
85.7900
+
log
81.9500
=
(i)
log
7029.4907
(ii)
log
7031.4907
(iii)
log
7030.4907
(iv)
log
7032.4907
(v)
log
7028.4907
Question
58
58.
log
70
2
+
log
70
6
=
(i)
log
70
8
(ii)
log
68
8
(iii)
log
70
7
(iv)
log
70
9
(v)
log
73
8
Question
59
59.
log
61.0800
+
log
5.2200
=
(i)
log
318.8376
(ii)
log
317.8376
(iii)
log
316.8376
(iv)
log
320.8376
(v)
log
319.8376
Question
60
60.
log
25
−
log
91
=
(i)
log
23
91
(ii)
log
25
89
(iii)
log
2
(
25
91
)
(iv)
log
25
91
(v)
log
27
91
Question
61
61.
log
53
61
−
log
1
12
=
(i)
log
636
59
(ii)
log
634
61
(iii)
log
638
61
(iv)
log
2
(
636
61
)
(v)
log
636
61
Question
62
62.
log
98
6
−
log
98
6
=
(i)
log
98
-2
(ii)
log
1
(iii)
log
98
-1
(iv)
log
98
(v)
log
98
3
Question
63
63.
log
84.3300
−
log
27.4100
=
(i)
log
5.0766
(ii)
log
3.0766
(iii)
log
1.0766
(iv)
log
4.0766
(v)
log
2.0766
Question
64
64.
log
3
8
12
7
=
(i)
7
log
3
8
12
(ii)
7
log
3
8
14
(iii)
6
log
3
8
12
(iv)
8
log
3
8
12
(v)
log
1
8
9
7
Question
65
65.
log
5
5
66
10
=
(i)
log
2
5
64
10
(ii)
9
log
5
5
66
(iii)
11
log
5
5
66
(iv)
10
log
5
5
66
(v)
10
log
5
5
68
Question
66
66.
log
1007
100
96
7
=
(i)
7
log
1007
100
99
(ii)
log
201
20
93
7
(iii)
6
log
1007
100
96
(iv)
8
log
1007
100
96
(v)
7
log
1007
100
96
Question
67
67.
log
10
4
21
=
(i)
2
log
2
−
log
3
−
log
4
(ii)
2
log
2
−
log
3
−
log
7
(iii)
log
2
−
log
3
−
log
7
(iv)
2
log
2
−
log
5
−
log
7
(v)
3
log
2
−
log
3
−
log
7
Assignment Key
1) (iv)
2) (iii)
3) (i)
4) (ii)
5) (i)
6) (iv)
7) (ii)
8) (v)
9) (v)
10) (ii)
11) (i)
12) (v)
13) (v)
14) (ii)
15) (iv)
16) (iv)
17) (iii)
18) (v)
19) (v)
20) (ii)
21) (ii)
22) (ii)
23) (ii)
24) (i)
25) (iii)
26) (v)
27) (i)
28) (iii)
29) (iii)
30) (i)
31) (ii)
32) (iii)
33) (ii)
34) (ii)
35) (i)
36) (i)
37) (ii)
38) (iv)
39) (iv)
40) (ii)
41) (ii)
42) (i)
43) (ii)
44) (ii)
45) (iv)
46) (iii)
47) (v)
48) (v)
49) (i)
50) (iv)
51) (iii)
52) (iv)
53) (i)
54) (iv)
55) (i)
56) (i)
57) (iii)
58) (i)
59) (i)
60) (iv)
61) (v)
62) (ii)
63) (ii)
64) (i)
65) (iv)
66) (v)
67) (ii)
