EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Logarithms
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
log
8
x
=
a
and
log
8
y
=
b
, then
8
(
a
+
1
)
=
(i)
8
a
(ii)
8
(iii)
8
x
(iv)
8
y
(v)
8
b
Question
2
2.
Find the value of
x
if
log
2
(
x
+
6
)
−
log
2
(
x
−
6
)
=
1
(i)
17
(ii)
18
(iii)
20
(iv)
15
(v)
19
Question
3
3.
log
79.0900
+
log
35.7200
=
(i)
log
2827.0947
(ii)
log
2825.0947
(iii)
log
2824.0947
(iv)
log
2823.0947
(v)
log
2826.0947
Question
4
4.
log
5
4
+
log
5
7
=
(i)
log
7
11
(ii)
log
3
11
(iii)
log
5
12
(iv)
log
5
10
(v)
log
5
11
Question
5
5.
log
72
+
log
63
=
(i)
log
4536
2
(ii)
log
4536
(iii)
log
4538
(iv)
log
4535
(v)
log
4534
Question
6
6.
Express
log
√
p
2
q
2
in terms of
log
p
and
log
q
(i)
2
log
p
+
2
log
q
(ii)
log
p
log
q
(iii)
log
p
+
log
q
(iv)
2
log
p
−
2
log
q
(v)
2
log
q
−
2
log
p
Question
7
7.
log
5
45
2
=
(i)
3
log
5
45
(ii)
2
log
5
45
(iii)
2
log
5
48
(iv)
log
2
42
2
(v)
log
5
45
Question
8
8.
log
90.6700
+
log
81.4900
=
(i)
log
7390.6982
(ii)
log
7387.6982
(iii)
log
7388.6982
(iv)
log
7389.6982
(v)
log
7386.6982
Question
9
9.
If
log
2 = 0.3010,
log
3 = 0.4771,
log
5 = 0.6989,
log
7 = 0.8451,
the value of
log
10.00
1.5120
is
(i)
8.179
(ii)
7.179
(iii)
2.179
(iv)
0.179
(v)
1.179
Question
10
10.
log
46
88
−
log
84
96
=
(i)
log
4
7
(ii)
log
2
(
46
77
)
(iii)
log
46
77
(iv)
log
46
75
(v)
log
48
77
Question
11
11.
log
16
64
=
(i)
2.5
(ii)
0.5
(iii)
1.5
(iv)
9.5
(v)
3.5
Question
12
12.
If
log
2 = 0.3010,
log
3 = 0.4771,
log
5 = 0.6989,
log
7 = 0.8451,
the characteristic of
log
540
52
=
(i)
142
(ii)
141
(iii)
140
(iv)
145
(v)
143
Question
13
13.
Find the value of
x
if
log
x
25
=
2
(i)
4
(ii)
5
(iii)
6
(iv)
2
(v)
7
Question
14
14.
log
58.0000
−
log
48.0000
=
(i)
log
0.2083
(ii)
log
3.2083
(iii)
log
1.2083
(iv)
log
9.2083
(v)
log
2.2083
Question
15
15.
log
4
1
=
(i)
log
1
80
÷
log
4
80
(ii)
log
4
80
+
log
1
80
(iii)
log
4
80
÷
log
1
80
(iv)
log
4
80
✕
log
1
80
(v)
log
4
80
−
log
1
80
Question
16
16.
log
39
−
log
87
=
(i)
log
15
29
(ii)
log
11
29
(iii)
log
13
29
(iv)
log
13
27
(v)
log
2
(
13
29
)
Question
17
17.
log
3
30
=
(i)
log
3
4
÷
log
4
30
(ii)
log
4
30
✕
log
3
4
(iii)
log
4
30
÷
log
3
4
(iv)
log
4
30
−
log
3
4
(v)
log
4
30
+
log
3
4
Question
18
18.
log
68
+
log
28
=
(i)
log
1906
(ii)
log
1901
(iii)
log
1904
(iv)
log
1904
2
(v)
log
1903
Question
19
19.
log
3
10
+
log
2
4
=
(i)
log
1
20
(ii)
log
1
6
(iii)
log
2
(
3
20
)
(iv)
log
1
4
(v)
log
3
20
Question
20
20.
log
22
7
+
log
22
3
=
(i)
log
25
10
(ii)
log
22
11
(iii)
log
22
10
(iv)
log
20
10
(v)
log
22
9
Question
21
21.
If
(
x
4
+
y
4
)
=
23
x
2
y
2
, then
log
(
x
2
+
y
2
)
=
(i)
log
x
+
log
y
−
log
5
(ii)
log
x
+
log
y
+
log
5
(iii)
log
x
−
log
y
−
log
5
(iv)
log
x
−
log
y
+
log
5
Question
22
22.
If
log
2 = 0.3010,
log
3 = 0.4771,
log
5 = 0.6989,
log
7 = 0.8451,
the value of
log
180
27
is
(i)
60.8877
(ii)
59.8877
(iii)
62.8877
(iv)
58.8877
(v)
61.8877
Question
23
23.
If
log
2 = 0.3010,
log
3 = 0.4771,
log
5 = 0.6989,
log
7 = 0.8451,
the mantissa of
log
588
3
=
(i)
2.3079
(ii)
7.3079
(iii)
0.3079
(iv)
8.3079
(v)
1.3079
Question
24
24.
log
69
−
log
30
=
(i)
log
23
10
(ii)
log
23
8
(iii)
log
21
10
(iv)
log
2
(
23
10
)
(v)
log
5
2
Question
25
25.
log
16.5900
−
log
60.0500
=
(i)
log
8.2763
(ii)
log
0.2763
(iii)
log
2.2763
(iv)
log
7.2763
(v)
log
1.2763
Assignment Key
1) (iii)
2) (ii)
3) (ii)
4) (v)
5) (ii)
6) (iii)
7) (ii)
8) (iii)
9) (iv)
10) (iii)
11) (iii)
12) (i)
13) (ii)
14) (iii)
15) (iii)
16) (iii)
17) (ii)
18) (iii)
19) (v)
20) (iii)
21) (ii)
22) (i)
23) (iii)
24) (i)
25) (ii)
