EduSahara™ Assignment
Name : Solving Equations with Indices
Chapter : Indices
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If
5
m
=
125
, find
m
(i)
1
(ii)
4
(iii)
5
(iv)
3
(v)
2
Question
2
2.
If
2
v
=
4
, find
3
v
(i)
8
(ii)
10
(iii)
9
(iv)
11
(v)
7
Question
3
3.
If
4
(
7
k
+
1
)
=
16
(
3
k
+
6
)
, find
k
(i)
10
(ii)
13
(iii)
11
(iv)
9
(v)
12
Question
4
4.
If
243
(
v
+
1
)
=
27
(
2
v
+
1
)
, find
v
(i)
0
(ii)
5
(iii)
2
(iv)
1
(v)
3
Question
5
5.
If
25
(
p
+
13
)
=
625
24
=
5
q
, find
q
(i)
97
(ii)
94
(iii)
95
(iv)
98
(v)
96
Question
6
6.
If
4
j
=
64
, find
4
(
2
j
+
3
)
(i)
262145
(ii)
262144
(iii)
262141
(iv)
262146
(v)
262143
Question
7
7.
(
x
)
(
g
−
h
)
.
(
x
)
(
h
−
i
)
.
(
x
)
(
i
−
g
)
=
(i)
2
(ii)
(-2)
(iii)
1
(iv)
0
(v)
4
Question
8
8.
If
(
8
2
)
360
=
(
8
90
)
c
, find
c
(i)
6
(ii)
9
(iii)
8
(iv)
10
(v)
7
Question
9
9.
If
49
✕
7
b
=
7
5
, find
b
(i)
4
(ii)
2
(iii)
3
(iv)
1
(v)
6
Question
10
10.
If
3
(
2
w
+
5
)
÷
81
=
3
9
, find
w
(i)
4
(ii)
6
(iii)
3
(iv)
5
(v)
2
Question
11
11.
If
5400
=
d
3
✕
e
3
✕
f
2
, find
d
,
e
,
f
(i)
(5,3,5)
(ii)
(2,6,5)
(iii)
(2,3,5)
(iv)
(2,3,8)
(v)
(5,3,2)
Question
12
12.
If
270000
=
5
w
✕
2
x
✕
3
y
, find
w
,
x
,
y
(i)
(4,5,3)
(ii)
(5,4,3)
(iii)
(4,4,4)
(iv)
(5,4,2)
(v)
(4,4,3)
Question
13
13.
If
i
s
=
j
,
j
t
=
k
and
k
u
=
i
, then
s
t
u
=
(i)
(
i
+
j
+
k
)
(ii)
1
(iii)
i
j
k
(iv)
-1
(v)
0
Question
14
14.
If
b
u
=
c
v
=
d
w
=
e
x
and
b
c
=
d
e
, then
(i)
v
u
=
w
x
(ii)
v
w
=
u
x
(iii)
1
v
+
1
w
=
1
u
+
1
x
(iv)
1
v
+
1
u
=
1
w
+
1
x
(v)
1
v
+
1
x
=
1
w
+
1
u
Question
15
15.
If
d
(
w
−
1
)
=
e
f
,
e
(
x
−
1
)
=
f
d
,
f
(
y
−
1
)
=
d
e
then
a)
w
x
+
x
y
+
y
w
=
1
b)
w
x
y
=
1
c)
w
x
+
x
y
+
y
w
=
0
d)
w
x
+
x
y
+
y
w
=
w
x
y
e)
(
w
+
x
+
y
)
=
1
(i)
{c,e,d}
(ii)
{d}
(iii)
{a,d}
(iv)
{b,d}
Assignment Key
1) (iv)
2) (iii)
3) (iii)
4) (iii)
5) (v)
6) (ii)
7) (iii)
8) (iii)
9) (iii)
10) (i)
11) (iii)
12) (v)
13) (ii)
14) (iv)
15) (ii)
