ph ơng trình và bất ph ơng trình mũ
i) ph ơng pháp logarithoá và đ a về cùng cơ số
1)
5008.5
1
=

x
x
x
ĐHKTQD - 98
2)
( ) ( )
244242
22
1
+=+ xxxx
x
ĐH Mở - D - 2000
3)






+
xx
xx
2
2

x
x
x
x
ĐHGT - 98
7)
24
52
2

=
xx
8)
1
2
2
2
1
2



x
xx
9)
2121
444999
++++
++<++
xxxxxx

11
2
>
+
xx
xx
13)
2431
5353.7
++++
++
xxxx
Ii) Đặt ẩn phụ:
1)
1444
7325623
222
+=+
+++++ xxxxxx
HVQHQT - D - 99
2)
( ) ( )
4347347
sinsin
=++
xx
ĐHL - 98
3)
( )
1

3
1
3
3
1
+






+






xx
= 12 HVCTQG TPHCM - 2000
7)









+ = +
ĐHTCKT - 99
10)
2 2
2 1 2 2
2 9.2 2 0
x x x x+ + +
+ =
ĐHTL - 2000
11)
( ) ( )( ) ( )
3243234732 +=+++
xx
ĐHNN - 98
12)
'(

=++
+
9
#)*%
13)
'+'',

=+
"/01- i
Trang: 1
14)
+


8*729
19)
',

=+
+

26:;01-!
20)
0173.
3
26
9 =+






−
xx

2 "/01-! i
21)
09.93.83
442
>−−
+++ xxxx
§HGT - 98
22)

xx
28)
0
12
122
1
≤
−
+−
−
x
xx
29)
xxxx
22.152
53632
<+
−+−−+
30)
222
22121
5.34925
xxxxxx −−+−+
≥+
31)
03.183
1
log
log
3







− xx
34)
9339
2
−>−
+ xxx
35)
xxxx
993.8
44
1
>+
++
36)
1313
22
3.2839
−−+−
<+
xx
37)
013.43.4
21
2

HVNH - D - 98
2)
xxx
9.36.24 =−
§HVL - 98
3)
2
6.52.93.4
x
xx
=−
§HHH - 99
4)
13
250125
+
=+
xxx
§HQG - B - 98
5)
( )


1
2
1
−=
−−
x
xxx

0331033
232
=−+−+
−−
xx
xx
11)
( )
2
1
122
2
−=+−
−−
x
xxx

12)
1323
424
>+
++ xx
13)
0
24
233
2
≥
−
−+

- 13.6
x
+ 6.9
x
= 0 4) 7
6-x
= x + 2
5)
( ) ( )
43232 =++−
xx
(§Ò 52/III
1
) 6)
132
2
+=
x
x
(§Ò 70/II
2
)
7) 3 25
x-2
+ (3x - 10)5
x-2
+ 3 - x = 0 (§Ò 110/I
2
) 8)
( ) ( )

2
2
−−−−
+−
−+−
−−
+
−−+
−
+−=++==
=+=−++=+−
=+−===+
xxxxxx
xx
xxx
x
xxx
xxx
xxx
x
x
xxx
x
x




( ) ( )
084.1516.2)28043232)27 =−−=−−++
xx
xx

( ) ( ) ( ) ( )
3
2531653)3002323347)29
+
=−++=+−−+
x
xxxx

012283396423236581216331
332111
=+−=+=+
+
x
x
xxxx
xxx

( ) ( )
( )
( )
( )


(


+
+
+
++
+
+++−
33
3
1
13
1
10
3
3
1
122
2112212
25,0
125,0.4
021223)37
532532)36043)35543)34
x
x
x
x
x
x
xx
xxxxxxxxxx
xx

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024-10.2-4 48) 0336.3- 947)
1-xxxx
22
==+
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!

  ?  
 ,
− + −
=
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− −
=
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     

/
 '  (
  ( 
+ +
+ − =
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 
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-
 
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F
   
  '  
+
+ + − =
G
 
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
  
' ? '+ =

  
  
, ' ++ =

  
 
?   

 I
 I 
, ?
 
+
− −

=


=


/

 I
 I 
 
, 
+
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
=


=


/
 I


− = −



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
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@AB5:@/801CDEA
!
 
J  J J 
−
− + + =

/
 
J J ?
−
+ =
@'AEJJMN1CDE*O8JA
 
J ,+ J  J  − − − + − =
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!
'

 
+ 
+

   
   
+
− > −

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!
 
 +  
−
+ − <
/
  
,  ( + − ≤
*
  
 
   
+
≥
− −
-
    
   
+
+ < +
F
  
   − + >
G

 
+ 
 
+
   
+ >
 ÷  ÷
   
U
/RJMNJV8J*W!UMX0@8J*W!/P1CDEA

( )

 J    J + + + − <
@AB5*4*1CDEA
!
( ) ( )
  
0"  0"  ' 0"  = + − +
/
  >
0"  0"  0" + =
*
( )


0"   , − + =
-

 

0" ' 0" ', + =
G

00 00  + − =
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!

 +

0" 0"  + 

 
+ + =
 ÷
 
/
( ) ( )
 
 
0" , ' 0" + ' − − − =
*
( ) ( )
  
  


0" , , 0" ,  0"
?
+
+ + =

!
( )
( )

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/
( ) ( )
 
0"   0"   + + + =
*
( ) ( ) ( ) ( )

 
  0"   ,   0"   ' + + + + + − =
-
( )

0"  
 
+
=
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!
 
0 0I 
 I +
+ =


+ =



− + =


F
( ) ( )
 I
I 
 
, 
0"  I  0"  I
+


=


+ = − +

G
I

 I
0" 
0" I 0" 
I ,I 

=


=
−
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( )
( )

 

0"  ,! 0"  !  + + − − =
/
( )
( )
0 !

0  
=
+
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
 
0"  0"  ! − + =
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( )
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− <
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?
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+
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+
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
  
− − − − −
≥
− −
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!



( )
( )
 
, I
0"  I 
0"   
−
−

− >


− >


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!
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+
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!
 0" 

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
0  J0 J  
 

− + + ≤

>

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( ) ( )



 J   J  J 0" − + + < −
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/ B5:@/80/P1CDE
@'AB5:@/80/P1CDEA
( )
( )

!
0"  ?!   
−
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