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Trang 1Giải các phương trình sau
1 32x+ 3.52x+ 3 = 3 55x 5x 2 5 2 4 25
=
+
− x x
3 2x2− + x 8− 41 3x − = 0 4 4x2− + 3x 2 −16=0
1 1
2 5 2
−
−
−
=
x
x
3 4 2 2 2
1 2− = −
7
2 3
1
3
x
−
+
=
÷
−
3
1 3 1
=
x − +x x − +x
−
11
x+ x+
=
÷ ÷
5
9
3x2− = x+
13 9x + 5.3x + = 7 0 14 32 +x + 32 −x = 30
15 4x + 2x − = 6 0 16 3x+ 2 + 9x+ 1 = 4
17 2( 1)
19 8x + 18x = 2.27x 20 9x2− 1+36.3x2− 3 + =3 0
23 3x− 1 + + 3x 3x+ 1 = 9477 24 ( 3)5 x +( 3)14 x− 10 −84 0=
25 491x − 351x = 251x 26 (2− 3)x + +(2 3)x =14
2
1
2
1 7 1 2
=
2
x
x−
+
=
29 53x +9.5x +27(5− 3x +5 ) 64−x = 30 (5 − 21)x+ 7(5 + 21)x = 2x+ 3
31 32x+ 4 + 45.6x − 9.22x+ 2 = 0 32 3
33
1
(1,5)
3
x x
+
−
5
x
x
e −
35 ( 2 1)− 2x− 3 = 2 1+ 36 4x +11x + 32x =13x
39 9x +2(x−2)3x +2x− =5 0 40 34x 8+ − 4.32x 5+ + 27 0 =
41 (2+ 3)x + −(2 3)x − =4 0 42 2.16 x − 15.4 x − = 8 0
43 22x 6+ + 2x 7+ − 17 0 = 44 25x − 2(3 − x )5x + 2 x − = 7 0
45 32x+ 1−4.3x+ 1+27=0 46 3x−3− +x 2 + =8 0
47 ( 4 − 15) (x+ 4 + 15)x = 8 48 ( 2+ 3) (x+ 2− 3)x − =4 0
49 2x−3 2x+17 11= 50 (7 4 3)+ x−3(2− 3)x+ =2 0
Trang 255 2.41x +61x =91x 56 82x 23x 3x 12 0
+
57 3x + 4x = 5x 58 22x+ 1−2x+ 3−64 0=
59 3.16x +2.8x =5.36x 60 5x + 5x 1+ + 5x 2+ = 3x + 3x 1+ + 3x 2+
61 2x− 1−2x2−x =(x−1)2 62 4x+ 1+ 2x+ 4 = 2x+ 2 + 16
63 25x −2(3−x)5x +2x− =7 0 64 3x +5x =6x+2
65 ( )log 2 ( )log 2
2 + 2 x+x 2 − 2 x = + 1 x 66 ( 3− 2) (x+ 3+ 2) ( )x = 5 x
67 22x 2 − − 4x 2−4.22x x− + 2 1− =2 0 68 32x 2 + + 2x 1−28.3x2 +x+ =9 0
x-1
71 32x+1−22x+ 1−5.6x =0 72 23x+1−7.22x +7.2x − =2 0
73 36x −2 3 6 0 x x − = 74 4.54x −29.2 32x 2x−25.22x =0
75
77 x( x + +) x 1 + + =
3
2
2
81 25 2x−x2 + 1 + 9 2x−x2 + 1 = 34 15 2x−x2 82 3.16x+ 1+2.81x+ 1 =5.36x+ 1
83 6.92x2 −x−13.62x2 −x+6.42x2 −x =0 84 25x +10x =22 1x+
85 3 2x+ 4 + 45 6x − 9 2 2x+ 2 = 0 86 3.16−x +2.81−x =5.36−x
87 6.92x −13.62x +6.42x =0 88 2 3 2 33x x − 3x 1+ x 1− =192
89 3x+4 −5x 3 + = −3 5x x 2 + 90 2x− 1 ( 2x + 3x− 1 ) = 9x− 1
91
−
5
2 2
2
3
x x x
−
÷
5 5 x 3 5 x
+
3
Giải các phương trình sau
3
6
2
x
x
x
7
x
x
2
log (x + +3) log 5 2log ( 1) log ( 1)= x− − x+
8
log (x− − =2) 2 6log 3x−5 104 2
Trang 3105 log x log x log5 + 25 = 0,2 3 106 log2 x − 4 log4 x − = 5 0
log log 3 log
3
5 log log 2
2
x
logx+ (4x +12x+ +9) log x+ (6x +23x+21) 4= 110 log x 5 = log x 5( + 6)− log x 5( + 2)
9
2
x x
x 1
+
−
1
4 lg x 2 lg x + =
5
1
x
log 2x − 5x 4 + = 2 116 log x2 + 10 log x 6 02 + =
117 log0,04x 1 + + log x 3 10,2 + = 118 ( x ) ( x )
log 4.3 − 6 − log 9 − 6 = 1
119 1lg(5x 4) lg x 1 2 lg 0,18− + + = +
2
1 log 4 4 log 4 1 log
8
log log x 9 2x
2
122 lg 6.5 ( x + 25.20x) = + x lg25
123 2 lg2 1( − +) lg 5( x + = 1) (lg 5 1− x + 5) 124 x lg 4 5 + ( − x) = x lg2 lg3 +
56
log 2
32
4 log
2
x
x
127 log (3 x2+ + − x 1) log3x = 2 x x − 2 128 log (55 x − 1).log (525 x+1− = 5) 1 129
2
2
3
+ + = + +
2+ 2 x+x 2− 2 x = +1 x
131 log7 x = log (3 x + 2) 132 2 2
log x + log x + − = 1 5 0
135 log (2 x− −2) 6.log1/8 3x− =5 2 136 log (2 x− +3) log (2 x− =1) 3
139 lg 5x− +4 lg x+ = +1 2 lg0,18 140 2 log (8 2) log (8 3) 2
3
141 log (3 x2− =6) log (3 x− +2) 1 142 log (2 x+ +3) log (2 x− =1) 1/ log 25
147 log3x+log 3x+log1/3x=6 148 log4x+log1/16x+log8x =5
149 1 lg(+ x2−2x+ −1) lg(x2+ =1) 2lg(1−x) 150 log ( 1) log ( 1) 1 log1/2 x− + 1/2 x+ = + 1/ 2(7 )−x
151 2 lg(4+ x2− + −4 1) lg(x x2+19) 2lg(1 2 )= − x 152 log2x+log4x+log8x=11
157 log (9 2 ) 32 − x = −x 158 log (33 x − = −8) 2 x
Trang 4159 log (6 7 ) 17 + −x = +x 160 log (4.33 x−1− =1) 2x−1
2
log (9 2 ) 5− x = −x 162 log (5 1).log (5 1 5) 1
25
163 log (12 2 ) 52 − x = −x 164 log (52 x+ 1−25 ) 2x =
165 log (3.2 1) 22 x − − x− =1 0 166 1 1
6
log (5x+ −25 )x = −2
167 log (26 3 ) 25 − x = 168 log 22( x−1 log 2) 4( x+ 1− =2) 1
3
2
5
log (6x+ −36 )x = −2 172 log ( ) 5 2 log2 5 1
5
x
175 log22 x+3log2x+log1/2x=2 176 3 log2x−log 42 x=0
177 log 2 log4 7 0
6
x − x+ = 178 3 log3x−log 33 x− =1 0
179 log22 x+3log2x+log1/2x=0 180 log23x+3log2x =4 / 3
181 log5 log 1 2
5
x
x− = 182 log23x−3log2x = −2 / 3
183 log 16 log 64 3x2 + 2x = 184 2
log x 2 log 0
x
185 log7 log 1 2
7
x
2 2
2
8
x
187 log (222 − −x) 8log (21/4 − =x) 5 188 log25x+4 log 525 x− =5 0
189 log 5 log 5 9 log2 5
4
x + x x= + x 190 log 3 logx2 + 9x=1
4 lgx+2 lgx =
− + 192 log2x x2−14log16x x3+40log4x x =0
194 log (2 x2 + + +x 1) log (2 x2 − + =x 1) log (2 x4 + x2 + +1) log (2 x4 −x2 +1)
195 log (2 x2 +3x+ +2) log (2 x2 +7x+12) 3 log 3= + 2
log (x− x −1).log (x+ x − =1) log (x− x −1)