Dạng 1: Cùng mũ , cùng cơ số.
a)
3 2cos 1 cos
4 7.4 2 0
x x
+ +
− − =
b)
2 2
1 3
16 64 4 3 0
x x− −
− × + =
c)
9 9 3
log log log 27
4 6 2 2 0
x x
− × + =
d)
2 2
2 2 1
9 7 3 2
x x x x x x
− − − − −
− × =
e)
2 2
sin cos
9 9 10
x x

−
 
− ≤
 ÷
 
2
2
2
2
1
9 2 3
3
Dạng 2: Cùng mũ , khác cơ số.
a)
2 2 2
15.25 34.15 15.9 0
x x x
− + =
b)
1 1 1
6.9 13.6 6.4 0
x x x
− + =
c) 125
x
+ 50
x
= 2
3x + 1
d)3

– 5
x +1
= 20
b)8.3
x
+ 3.2
x
= 24 + 6
x
.
Dạng 5: Tích cơ số bằng 1.
a)
( ) ( )
2 3 2 3 14
x x
− + + =
b)
(
)
(
)
4 15 4 15 8
x x
− + + =
c)
(
)
(
)
cos cos

x x x
− +
+ − + − =
c)
2
5 5
log 2log 15 0x x− − >
d)
3 3
log ( 1) log (11 ) 3x x+ + − <
e)
2
2
log 2 2log 4 log 8 0
x x
x
+ + =
f)
2 8
2
5
log log log
3
x x x+ + =
g)
2
2 1 2
2
1
log ( 1) log ( 4) log (3 )

log log
2
x x x+ =
c)
( )
2 3
log 1 logx x+ =

d)
( )
5 7
log log 2x x= +
e)
( ) ( )
2 1
1 1
2 2
log 4 4 log 2 3.2
x x x+
+ ≥ −
f)
2 2
1
log (4 15 2 27) 2log 0
4 2 3
x x
x
+ × + + =
× −
g)

x x+ ≥
c)
2
1 4
2
3 log log 2 0x x+ − >
d)
( ) ( )
x x 1
3 3
log 3 1 log 3 3 6
+
− − =
e)
2 2
log 10log 6 9x x+ + =
f)
1
5 25
log (5 1) log (5 5) 1
x x+
− × − =
g)
2
3 3
log 5log 6 0x x− + =
h)
2
6 6
log log

+ − <
 
 
Bài 3.
( )
5
log 5 4 1
x
x− = −
Bài 4.
3 1
3
2log (4 3) log (2 3) 2x x− + + ≤