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
125
=
3
(i)
3
(ii)
5
(iii)
6
(iv)
7
(v)
4
Question
2
2.
Find the value of
x
if
log
5
x
=
3
(i)
124
(ii)
126
(iii)
125
(iv)
127
(v)
123
Question
3
3.
Find the value of
x
if
log
4
256
=
x
(i)
1
(ii)
7
(iii)
4
(iv)
5
(v)
3
Question
4
4.
Find the value of
x
if
log
√
3
(
8
x
+
8
)
=
2
(i)
(
-7
8
)
(ii)
(
-1
2
)
(iii)
(
-5
6
)
(iv)
(
-3
8
)
(v)
(
-5
8
)
Question
5
5.
Find the value of
x
if
log
x
1
25
=
-2
(i)
5
(ii)
4
(iii)
3
(iv)
7
(v)
6
Question
6
6.
Find the value of
x
if
log
(
x
+
5
)
+
log
(
x
−
5
)
=
log
7
(i)
(
8
,
(
−
8
)
)
(ii)
(
4
√
2
,
(
−
4
√
2
)
)
(iii)
(
4
√
2
,
(
−
8
)
)
(iv)
(
8
,
(
−
4
√
2
)
)
Question
7
7.
Find the value of
x
if
log
5
(
x
+
5
)
−
log
5
(
x
−
5
)
=
1
(i)
13
2
(ii)
15
2
(iii)
17
2
(iv)
29
4
(v)
8
Question
8
8.
Find the value of
x
if
log
6
(
x
2
−
13
)
=
2
(i)
(
7
,
(
−
6
)
)
(ii)
(
7
,
(
−
7
)
)
(iii)
(
8
,
(
−
7
)
)
(iv)
(
8
,
(
−
6
)
)
Question
9
9.
Solve
log
x
log
6
=
log
9
log
1
3
(i)
1
34
(ii)
1
36
(iii)
1
12
(iv)
1
38
(v)
(
-1
36
)
Question
10
10.
If
log
(
x
2
+
25
)
log
2
x
2
=
1
, find x
(i)
(
-3
,
5
)
(ii)
(
-4
,
6
)
(iii)
(
-5
,
5
)
(iv)
(
4
,
-5
)
(v)
(
-5
,
4
)
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (v)
5) (i)
6) (ii)
7) (ii)
8) (ii)
9) (ii)
10) (iii)
