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Class VI
Class VII
Class VIII
Class IX
Class X
ICSE Grade IX - Logarithms
Question
1
1.
log
10
288
=
5
log
4
+
2
log
3
5
log
-1
+
2
log
3
5
log
2
+
2
log
3
4
log
2
+
2
log
3
6
log
2
+
2
log
3
Question
2
2.
If
log
2 = 0.3010,
log
3 = 0.4771,
log
5 = 0.6989,
log
7 = 0.8451,
the characteristic of
log
189
5
=
10
11
12
14
8
Question
3
3.
If
(
x
2
+
y
2
)
=
11
x
y
, then
log
(
x
−
y
)
=
1
2
log
x
−
1
2
log
y
+
log
3
1
2
log
x
+
1
2
log
y
+
log
3
1
2
log
x
−
1
2
log
y
−
log
3
1
2
log
x
+
1
2
log
y
−
log
3
Question
4
4.
log
37
46
−
log
2
3
=
log
111
92
log
113
92
log
109
92
log
37
30
log
2
(
111
92
)
Question
5
5.
log
80
5
+
log
80
10
=
log
80
14
log
80
16
log
77
15
log
80
15
log
82
15
Question
6
6.
log
14
3
−
log
14
2
=
log
12
log
14
log
16
log
13
log
14
2
Question
7
7.
log
46.4500
+
log
65.5500
=
log
3044.7976
log
3046.7976
log
3042.7976
log
3043.7976
log
3045.7976
Question
8
8.
If
log
2 = 0.3010,
log
3 = 0.4771,
log
5 = 0.6989,
log
7 = 0.8451,
the value of
log
576
12
is
33.1224
32.1224
35.1224
31.1224
34.1224
Question
9
9.
Express
log
√
p
q
4
in terms of
log
p
and
log
q
4
log
q
−
log
p
log
p
+
4
log
q
1
4
log
p
log
q
log
p
−
4
log
q
1
2
log
p
+
2
1
log
q
Question
10
10.
log
0.3617
+
log
0.0412
=
log
0.0149
log
1.0149
log
8.0149
log
2.0149
log
7.0149
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