1
Câu 102 Giải phương trình
9
1
2
2/2log 32 x log23x32 3/ 2
log 2x log xlog 16x 4 4/ 2x8 4 x6.2x80 5/12.4x2 6x2 6.9x2 0
6/lg 1002 x2lgx7lg10x 3 7/ 2 2
ln x 3lnex 6 4lnx
log x 1 6 log x1 200 9/2.52x129.10x5.22x10
log 3x18 log 2.3 x153 1 11/log24x2x2log23.2x21
log 4x3.2x 4log 4x3.2x 4 0
2
14/64.9x84.12x27.16x 0
15/ 2 1
2
log e x 2 log e x 3 2 16/ 2
log x 3 log 6x 1 1 0
lgxlg x90 1 2 lgx
19/25.54x14.52x 9 0 20/ 2 2
log 4x 3log xlog x 5 0 21/2.25x2 51x2 2 0 22/2 3x x2 4.3x2 3.2 x 12 0
23/ 2
2 2
16
log 8.4x32 x 3 4log 2x 3
25/9.43x2 x 197.63x2x 4.93x2 x 10
25
log 2x1 log x1 3log 5x1 log x1
27/2x16.22x 200 28/ 2
log 4x 7 log x 2 0
2
2
30/42x2 - 2.4x2x 42x 0 31/ 4 3 2 2
log x 4x 4x 4x2 log x 1 32/8x2x 3.2x2 x 2160 33/ log log 1 1 log 2 1
2
1
2 2
2 x x x
Trang 22
34/log9xlog3 2x 1 1 35/ sin2 sin 22 2sin 32 2sin 42
ln sin 2xsin x ln 2 37/ 2 2 3 2 2 3
2 3 x x 2 3 x x
38/log log32 0
3 9
x
x
2x 2x 5x 3.5x 40/9x213x23800 41/ 2 log 27 3
3ln x 1 24ln x 1 3 0
3 x9x 4 4 x16.2 x 0 43/ 2
2 lnxln 2x3 0
44/22 32. 2 18 0
x
x
2
log 4 x 3 log 4 x 1 log x1
2 x 17.2x8 3 39x 0 47/
x x
x x
49/5.32x134.15x3.52x1 0 50/log 2 10 9 2 log 2 3 0
3
51/4.32x 1 43.6x 18.4x 0 52/ 5 25
20
53/4x2x13.2x2x2 7 0 54/ 2
2
2
1 log ( 1) log ( 5) log (3 1)
55/ (3x2 )(3x x 3.2 )x 8.6x 56/
3 3
1
x x
x x
57/9x2 45.6x 9.4x1 0 58/ 2
log (x 1) 6log x 1 2 0
log x 1 x 4x 1 1 log x
1
x
x
2
2x 3x x 63/2x2x 22 x x2 3 64/log (23 x1)2log (9 x1)12log 255 0
65/4.9x13 22x1 66/ 3 2 2 x 10 2 1 x 1 0
Trang 33
2 log xlog x.log 2x 1 1 68/
32 0, 25.128
69/2x2x4.2x2x22x 4 0 70/log2 x 3 log2 3x 7 2
71/
2 2
2
8
x
72/
2 x 2 x 2 x 448
2
4
x x x
3 2
x
x x
75/32x2 6x 36x2 3x 122x2 6x 3 76/ 4 1
4
log 3 1 log
x
5
2log x5log (25 ) 3x 0 78/2.3 9.3 19
0
1 ln
x
79/3 1 22 1 122 0
x
x x 80/ 2 3 2 3 4
81/ log (1 2 ) 3 2
9 x 5x 5 82/ 2 2
log x log x 1 5 0
2
2 log (1 2x 1 ) log (5 x) log (3x) 84/ 1
log52 1 2
x
85/9x2136.3x23 3 0 86/
3
2 3
x
x
87/4x2 2x 310.2x2 2x 4 6 0 88/
2log x 1 x log x 1 x 3
89/
2
3
x x
x x
9 log x 1 2 log x 3 log 2015
3 x 4.3 x 27 0 92/ 2
1
93/4log 3 xlog 93 xlog81x4 6 94/ 2
2
log x 2 log 2x 0 95/log 16 log 64x2 2x 3
5
log 2x 15 log x 10 1 log 25 97/:
3.2x 4.2 x 10 99/ 2
log x 5log x 6 0 100/ 2 1
13 x 13x 12 0
Trang 44
Câu 103 Giải bất phương trình
3.7x 7x 4 0 2/: 2 2 2 4 2
10 x 6.10 x 5 0
8.2x 16.2x 12 0 5/
1
3
x x
6/
2 2
2x 3.2x 26
1
2
log x 7x 3 8/6.4x 13.6x 6.9x 0 9/ 1
1
x x
x
3 2log (4x 3) log (2x 3) 2 11/log23.2x 1 2x1
12/log (2 x 3) 2log 3.log4 3x2 13/ 1 1 2
log x 2 log (x 1) log 6 0
14/log4xlog (4 )2 x 5 15/9.4 x 5.6 x 4.9 x 16/
17/ 2 1 x+ 2 1 x 2 2 0 18/
2
1 2
x
19/2x 2x1 2x2 3x 3x1 3x2 20/ 3 1
3
27
x
x
21/
2
1
x x
x x
50 7 x x 50 7 x x
23/23 2 x 3.21x 1 0 24/ 2 1
2
7
x
x x
2
2
x x
x
25 x x 9 x x 34.15 x x
4
x
1
2 log ( 1) 2
1
1 2
x
30/log (2 ).log (3 )2 x 3 x 1 31/ 2
log x2 log 2x 3 0
32/
2
0
x
x x
log 2x 3x 1 log x x 2 36/4x22x.33x443x4.3x22x 0
37/24 x 17.4 x 16 0 38/: ln 42 x3lnx 4 0
Trang 55