EduSahara™ Assignment
Name : Solving Logarithmic Equations
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Find the value of
x
if
log
x
9
=
2
(i)
0
(ii)
6
(iii)
2
(iv)
3
(v)
4
Question
2
2.
Find the value of
x
if
log
2
x
=
4
(i)
17
(ii)
15
(iii)
16
(iv)
19
(v)
13
Question
3
3.
Find the value of
x
if
log
2
4
=
x
(i)
1
(ii)
3
(iii)
4
(iv)
0
(v)
2
Question
4
4.
Find the value of
x
if
log
√
5
(
−
8
x
+
1
)
=
2
(i)
(
-1
4
)
(ii)
1
2
(iii)
(
-3
2
)
(iv)
(
-1
2
)
(v)
-1
Question
5
5.
Find the value of
x
if
log
x
1
25
=
-2
(i)
6
(ii)
5
(iii)
7
(iv)
3
(v)
4
Question
6
6.
Find the value of
x
if
log
(
x
+
3
)
+
log
(
x
−
3
)
=
log
7
(i)
(
5
,
(
−
3
)
)
(ii)
(
4
,
(
−
3
)
)
(iii)
(
4
,
(
−
4
)
)
(iv)
(
5
,
(
−
4
)
)
Question
7
7.
Find the value of
x
if
log
5
(
x
+
2
)
−
log
5
(
x
−
2
)
=
1
(i)
0
(ii)
5
(iii)
4
(iv)
2
(v)
3
Question
8
8.
Find the value of
x
if
log
3
(
x
2
−
55
)
=
2
(i)
(
9
,
(
−
8
)
)
(ii)
(
9
,
(
−
7
)
)
(iii)
(
8
,
(
−
7
)
)
(iv)
(
8
,
(
−
8
)
)
Question
9
9.
Solve
log
x
log
5
=
log
16
log
1
4
(i)
(
-1
25
)
(ii)
1
23
(iii)
3
25
(iv)
1
25
(v)
1
27
Question
10
10.
If
log
(
x
2
+
25
)
log
2
x
2
=
1
, find x
(i)
(
-4
,
6
)
(ii)
(
-5
,
5
)
(iii)
(
4
,
-5
)
(iv)
(
-5
,
4
)
(v)
(
-2
,
5
)
Assignment Key
1) (iv)
2) (iii)
3) (v)
4) (iv)
5) (ii)
6) (iii)
7) (v)
8) (iv)
9) (iv)
10) (ii)
