Soalan 5:
Selesaikan persamaan,
log
9
(
x
−
2
)
=
log
3
2
Penyelesaian:
log
9
(
x
−
2
)
=
log
3
2
log
a
b
=
log
c
b
log
c
a
⇒
log
3
(
x
−
2
)
log
3
9
=
log
3
2
log
3
(
x
−
2
)
2
=
log
3
2
log
3
(
x
−
2
)
=
2
log
3
2
log
3
(
x
−
2
)
=
log
3
2
2
x
−
2
=
4
x
=
6
Soalan 6:
Selesaikan persamaan,
log
9
(
2
x
+
12
)
=
log
3
(
x
+
2
)
Penyelesaian:
log
9
(
2
x
+
12
)
=
log
3
(
x
+
2
)
log
3
(
2
x
+
12
)
log
3
9
=
log
3
(
x
+
2
)
log
3
(
2
x
+
12
)
=
2
log
3
(
x
+
2
)
log
3
(
2
x
+
12
)
=
log
3
(
x
+
2
)
2
2
x
+
12
=
x
2
+
4
x
+
4
x
2
+
2
x
−
8
=
0
(
x
+
4
)
(
x
−
2
)
=
0
x
=
−
4
(tidak diterima)
x
=
2
Soalan 7:
Selesaikan persamaan,
log
4
x
=
3
2
log
2
3
Penyelesaian:
log
4
x
=
3
2
log
2
3
log
2
x
log
2
4
=
3
2
log
2
3
log
2
x
2
=
3
2
log
2
3
log
2
x
=
2
×
3
2
log
2
3
log
2
x
=
3
log
2
3
log
2
x
=
log
2
3
3
x
=
27
Soalan 8:
Selesaikan persamaan,
2
log
5
2
=
log
2
(
2
−
x
)
Penyelesaian:
2
log
5
2
=
log
2
(
2
−
x
)
2
=
log
5
2.
log
2
(
2
−
x
)
2
=
1
log
2
5
.
log
2
(
2
−
x
)
2
log
2
5
=
log
2
(
2
−
x
)
log
2
5
2
=
log
2
(
2
−
x
)
25
=
2
−
x
x
=
−
23