Phân loại phương trình mũ theo phương pháp giải doc

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Phương pháp 1
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  !  !
 =
1.
" # #
$ % #%$ &$ '
x x x+ +
+ − − =
2.
" # #
# #
&( ) *( )
& "
x x x x+ + +
+ = −
3.
& " & (
" # " #
" " " "
x x
x x
x x
− + − +
+ −
+ = +
4.
( )
"

" "
#
#
( " " #
x
x x x
+
+ −
+ = +
5.
" &
& &
#
) "% +#
&
x
x x x
−
+
 
=
 ÷
 
6.
2
x x 8 1 3x
2 4
− + −
=
7.

2
5
x 6x
2
2 16 2
− −
=
8.
x x 1 x 2 x x 1 x 2
2 2 2 3 3 3
− − − −
+ + = − +
9.
x x 1 x 2
2 .3 .5 12
− −
=
10.
2
2 x 1
(x x 1) 1
−
− + =
11.
x x 1 x 2 x x 1 x 2
5 5 5 3 3 3
+ + + +
+ + = + +
12.
13.

14.
15.
16.
17.
18.
19.
20.
&
+
"
(
+"
&
−
−
=
x
x
21.
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&&&$$$
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++=++
xxxxxx
22.
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"
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−
xxxx
x
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x
x
x
x
+=+
+
24.
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=
xxxx
25.
Phương pháp 2-./0
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x
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+
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x x x
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x x x

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x x
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x
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Phương pháp41NY/M5OPZ95:;<M91N02;0
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−
= − + −
VD2.JK9f

"
5, &x x= −
"
( )
"
" "
5, # 5, * "x x x x+ − = −
VD3.JK9f
#
( )
"$ " & $ " % '
x x
x x− − + − =

"
&
+ " " '
x x
x x
−
− + − =
VD4.JKf
( )
" & "
& & #" % + #) #"
x x
x x x x x+ − = − + − +
1.
( ) "$
x x x
+ =
2.
( )
" "
&"$ & #' $ & '
x x
x x
− −
+ − + − =
3.
( )
) " " & " $ '
x x
x x+ − + − =

4.
x x x
3 4 5+ =
5.
x
3 x 4 0+ − =

6.
7.
x
x
4115 =+
8.
132
2
+=
x
x
9.
x
xxx
202459 ++=
10.
2112212
532532
+++−
++=++
xxxxxx
11.
9,2

5
2
2
5
/1
=






+






xx
12.
x
x
x
x
x
x
2
2
22

22
2
211
−
=−
−−
13.
( ) ( )
021223
2
=−+−−
xx
xx
14.
20515.33.12
1
=−+
+xxx
15.
16.
17.  E#
18.  E# E"
19.
20.
( )
& "  & "!  $!
x
x x
− + + =
eN74

21.
#
" ( #
x x
x
+
− = −
22.
"
" & #
x
x
= +
23. &'(')*&+'*, %/ 
24.
( )
"
##
#"(
"
−=−
−−
x
xx
25.
x
x
x
x
x

#
"
#
""
""
"
"##
−=−
−−
26.
x
xxxx
&,%""
&""
,(,&
=−
++

27.
( ) ( )
#&(%&"
#
−=+−+
+
x
xx
28.
( ) ( ) ( )
xxx
$""&$% =+++

29.
( )
xx
xx "#"(
"
"
++−=
30.
x
x
*
"#%) =+
31.
Phương pháp 699
eg=eh
B4egiQ@ehjQ;egjQ@ehiQ!
h⇔eg=eh=Qk> K;!
#
#"&""&
##""
+++=++
++
x
xxx
xx
Hd

" #≥ +
2.
( )

x
x
x
+
+=
#
",
""
"
3.
x
x
",&
"
=


0123
'45&+678&'59:&

=

5,
= 
= ⇔ =
'cl#
=

5,  ! =   ! 
= ⇔ =

'cl#@m !Wn
D=7
 
  ! 'e ! '
5,   ! 5,  !
  !  !
> >

= ⇔

=

@'cl#!
;6<=>'45&+>'?>+*:*>'45&+678&'@A+)7*6
Phương pháp 1

 
5,   ! 5,  !=
B3f =5,



@5,

 !C5,

 !=5,

 ! !!
1.

xx
3322
loglogloglog =
2.
xx
234432
loglogloglogloglog =
3.
xxx
332332
loglogloglogloglog =+
4.
5.
6.
7.
8.
9.  E#*
10.
11.  E#@ E*5,!
12.
13.
14.
+
+ = − −
x x 1
log (4 4) x log (2 3)
2 1
2

15.

!&5,!(5,!#5,
"
#
"
"
#
"
"
xxx −=++−
16.
17.
18.

19.
( )
(5
"
#*5
(
#
""&5
(
x
xx
−+=−
−

20.
'"%&5&5
"

#
#"5"
#
=








+−






++
x
x
21.
( ) ( )
*"5,#(5,
&
""
−+=+
+xx
x

22.
( )
( )
"
(
#
"%#5,
#"
#"
#
xx
x
x
−+
−=
−

23.
( )
[ ]
{ }
"
#
5,&#5,#5,"5,
&"&(
=++ x
24.
( )
##"5,5,5,"

&&
"
)
−+= xxx
25.
(
)
"
#
"#&5,
"
&
=+−−
+
xx
x
26.
( ) ( )
&
+
"
"
(
(5,(5,"#5, xxx ++−=++
27.
( ) ( ) ( ) ( )
#5,#5,#5,#5,
"(
"
"(

"
"
"
"
"
+−+++=+−+++ xxxxxxxx
28.
( )
( )
"
)
&
&
"
"%
&5,
"
&
5,
"
#
*$5, −+
−
=+− x
x
xx
29.
+
( "
"

# #
5,  &! 5,  #! 5, ( !
" (
x x x+ + − =
30.
&
& " & "
& #
5, 5, 5, 5,
"
&
x
x x
x
− = +
31.
$
#
"5, #! 5, 5,
"
x x− = −
32.
"
" "
5,  &! 5, * #'! # '
f &
x x
DK x
− − − + =
>

33.
"
#
5 #'! 5 " 5(
"
+ + = −x
34.
" " &
" "
#
5, " ! 5, & "
"
x x x x+ − = −
35.
&
"
5, #" "
" "
& " 5,  #! 5,
x
x x x
+
− = + −
36.
" "
& &
5,  "! 5, ( ( )x x x+ + + + =
Hf E"$@ EG")
37.
(

5,  "!5, " #
x
x + =
38.
" "
" " "
5,  & "! 5,  % #"! & 5, &x x x x+ + + + + = +
39. (Chưa gii đưc)
40.
41.
42.
43.
'!(5,!"5,"
"
&&
=−+− xx

44. 
'!5,!"##
"
"
=−−++− xxxx
@
45.
2 3
4 8
2
log (x 1) 2 log 4 x log (4 x)+ + = − + +
46.
xxxx "*5,!#5,

"
"
"
−=−+
-./04:
( )
xxx
(
(
*
5,5," =+
( )
xx
$%
5,"5, =+
( )
xx
&"
5,#5, =+
" "
& "
5,  " #! 5,  " !x x x x+ + = +
Phương pháp 2-./0
1234567895N9=02>56?
( ) ( )
#$$5,#$5,
#
"$$
=−−
+xx

 #! "
5, #* 5,  #!
x
x
+
= +
" "
"
5, ( 5, #"
x
x x =
" (
5, ( 5, $ 'x x− − =

 

  

#  
5,  5,  @5,  @5, @5, 
  
= ⇒ = = = =
@eX'c l#@b'!
3
3
2 2
4
log x log x
3
+ =

'$#5,5,
"
&
"
&
=−++ xx

Phương pháp3PQRST5O4U=K,D
K?=V99M9NMK./0KW=02>XM9S
T!
2 7 2 7
log x 2.log x 2 log x. log x+ = +
Phương pháp 4HT/P72ZO4
C !=4
\.474
'

B>4 !]=,D^=⇒
,
5O742;_
C != !
\.474
,

B>4 !]=` !^=,D !^=` !]=!
⇒
,
5O742;_
C2!=!@

B>4 !]=,D^=⇒⇔2=
C !='
\.4?74
#
@
"

B>4 !56/aab',Dc'!⇒a !]=,D=!⇒a !='W
MNd294U74⇒ !='WMNd2974⇒W74
#
@
"

( )
"
" "
5, # 5, * "x x x x+ − = −

2
2 2
log (x x 6) x log (x 2) 4− − + = + +


!
 
"
#
( )
( )
"

5, * ( 5, "x x x x+ − − = + +
$
( ) ( ) ( ) ( )
"
& &
& 5, " ( " 5, " #*x x x x+ + + + + =
%
#("#%
$("
&
5,
"
"
"
&
++=








++
++
xx
xx
xx


& &
& 5, 5, # 'x x− − =

"
" "
5,  #!5, " * 'x x x x+ − + − =


"
#
# "
" "
" 5,  #! ( 5, # #!
x
x
x x
+
+
+ = + +

Phương pháp 599
eg=eh
B4egiQ@ehjQ;egjQ@ehiQ!
h⇔eg=eh=Qk> K;!