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
27
=
3
(i)
1
(ii)
3
(iii)
6
(iv)
4
(v)
2
Question
2
2.
Find the value of
x
if
log
2
x
=
2
(i)
6
(ii)
3
(iii)
4
(iv)
2
(v)
5
Question
3
3.
Find the value of
x
if
log
4
256
=
x
(i)
5
(ii)
4
(iii)
3
(iv)
6
(v)
2
Question
4
4.
Find the value of
x
if
log
√
4
(
−
4
x
+
8
)
=
2
(i)
0
(ii)
2
(iii)
-1
(iv)
4
(v)
1
Question
5
5.
Find the value of
x
if
log
x
1
125
=
-3
(i)
2
(ii)
4
(iii)
7
(iv)
6
(v)
5
Question
6
6.
Find the value of
x
if
log
(
x
+
7
)
+
log
(
x
−
7
)
=
log
8
(i)
(
√
57
,
(
−
√
57
)
)
(ii)
(
57
,
(
−
√
57
)
)
(iii)
(
57
,
(
−
57
)
)
(iv)
(
√
57
,
(
−
57
)
)
Question
7
7.
Find the value of
x
if
log
4
(
x
+
2
)
−
log
4
(
x
−
2
)
=
1
(i)
16
5
(ii)
4
(iii)
10
3
(iv)
8
3
Question
8
8.
Find the value of
x
if
log
3
(
x
2
−
27
)
=
2
(i)
(
6
,
(
−
5
)
)
(ii)
(
7
,
(
−
5
)
)
(iii)
(
6
,
(
−
6
)
)
(iv)
(
7
,
(
−
6
)
)
Question
9
9.
Solve
log
x
log
6
=
log
64
log
1
8
(i)
1
38
(ii)
(
-1
36
)
(iii)
1
34
(iv)
1
36
(v)
1
12
Question
10
10.
If
log
(
x
2
+
25
)
log
2
x
2
=
1
, find x
(i)
(
-3
,
5
)
(ii)
(
4
,
-5
)
(iii)
(
-5
,
4
)
(iv)
(
-4
,
6
)
(v)
(
-5
,
5
)
Assignment Key
1) (ii)
2) (iii)
3) (ii)
4) (v)
5) (v)
6) (i)
7) (iii)
8) (iii)
9) (iv)
10) (v)
