PHƯƠNG TRÌNH, BẤT PHƯƠNG TRÌNH MŨ
Giải các phương trình sau
1 32x+ 3.52x+ 3 = 3 55x 5x 2 5x− x2+ 4 = 25
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− = −
3
1 3 1
=
x x 1
9 32 +x + 32 −x = 30 10 3x2−5 =9x+1
11 9x + 5.3x + = 7 0 12 25x − 23.5x − ≤ 5 0
13 2( 1)
3 x+ −82.3x + =9 0 14 8x + 18x = 2.27x
15 4x + 2x − = 6 0 16 3x+ 2 + 9x+ 1 ≥ 4
17 3 7x+ 3 x+ 3 = 3 72x 2x 18 9x2− 1+36.3x2− 3 + =3 0
19 4 2 5 3 2
3 − x = 9 − −x x 20 3x− 1 + + 3x 3x+ 1 = 39
21 491x − 351x = 251x 22 (2− 3)x + +(2 3)x =14
( 2 1)− x− = 2 1+ 24 34x 8+ − 4.32x 5+ + 27 0 =
2
1
2
1 7 1 2 =
(1,5)
3
x x
+
= ÷
29 22x 6+ + 2x 7+ − 17 0 = 30 32x+ 1−4.3x+ 1+27=0
31 2x−3 2x+17 11= 32 3x + 4x = 5x
33 22x+ 1−2x+ 3−64 0= 34 4x+ 1+ 2x+ 4 = 2x+ 2 + 16
35 9x 2 + −x 1−10.3x2 + −x 2+ =1 0 36 ( ) −
x-1
37 2x+1 2 1
3 −2 x+ −5.6x =0 38 ( x − )2 + −x =
2
2 2 2 log 4 0
39 36x −2 3 6 0 x x − = 40 x( x + +) x 1 + + =
3
3 3 2 3 log 81 0
41
−
x 3 x
5
4 2x 2 2x
+
1 1
1(2 3 ) 9
2x− x+ x− = x−
PHƯƠNG TRÌNH, BẤT PHƯƠNG TRÌNH LÔGARIT
Giải các phương trình sau
1 3log3 x−log9 x =5 2 log (2 x− +3) log (2 x− =1) 3
3 log x log x log5 + 25 = 0,2 3 4 log x 5 = log x 5( + 6)− log x 5( + 2)
3
6
2
x
x
2
log (x + +3) log 5 2log ( 1) log ( 1)= x− − x+
8 log (x− − =2) 2 6log 3x−5 8 ( 2 )
x
log 2x − 5x 4 + = 2
log 4.3 − − 6 log 9 − 6 = 1 10 log x2 + 10 log x 6 02 + =
Trang 211 log9 x2 + log32 x = 0 12 2
5 log log 2
2
x
13 log3x +log 3x +log1/3x ≤6 14 log4x+log1/16x+log8x=5
log log x 9 2x
2
+ + =
2
log x 4 log x 3 0
1
4 lg x 2 lg x + =
5
1
19 log22 x + log 82 x = 5 20 log23 x + log23 x + − = 1 5 0
21 log2x+log (2 x− =1) 1 22 log (2 x − +3) log (2 x − ≥1) 3
23 log2x x( −1)≤1 24 log (2 x− −2) 6.log1/8 3x− =5 2
25 log (4 x+ −3) log (4 x− = −1) 2 log 84 26 lg(x− +2) lg(x− = −3) 1 lg5
27 log (3 x2− >6) log (3 x − +2) 1 28 2 log (8 2) log (8 3) 2
3
29 log4x+log (104 − =x) 2 30 log (2 x+ +3) log (2 x− =1) 1/ log 25
31 log (2 x− +1) log (2 x+ =3) log 10 12 − 32 log (5 x − −1) log (1/5 x + <2) 0
33 log (9 2 ) 32 − x = −x 34 log (9 x+ −8) log (3 x+26) 2 0+ =
35 log (6 7 ) 17 + −x = +x 36 log (33 x − ≥ −8) 2 x
37 log (3 ) 5
2
log (9 2 ) 5− x = −x 38 log2x+log4x+log8x=11
39 log (12 2 ) 52 − x = −x 40 log (4.33 x−1− ≤1) 2x −1
41 log (3.22 x − −1) 2x− =1 0 42 log (52 x+ 1−25 ) 2x =
43 1 − >
2
log (1 3 ) 2x 44 log (3.24 x+ 1− >5) x
5
x
47 log22 x+3log2x+log1/2x=2 48 log 22( x−1 log 2) 4( x+ 1− =2) 1
49 log 2 log4 7 0
6
log 4.3 6 log 9 6 1
2
51 3 log3x−log 33 x− =1 0 52 3 log2x −log 42 x ≥0
53 log (222 − −x) 8log (21/4 − =x) 5 54 log25x+4 log 525 x− =5 0