MU-LOGA CAP TOC 2009

1) (A–07) 3 1

3

2log (4 x  3) log (2  x  3) 2 

4  x  )

3 log log ( 4 4) log 3

2

x

x



1 2(log 1) log log 0

4

4)(B2–03)log0,5 x  2log0,25( x  1) log 6 0  2 

(x  3)

log ( 3) log ( 1) log (4 )

2 x   4 x   x (x = 3  x= –3+ 12)

6) (B1–04)

1

4 2

x





4

log [log ( x 2x  x)] 0 (x >1 x< - 4) 

8)(B2–04)log3x  log 3x ( x>3  1/3 <x <1)

9) (D–03)2x2x 22  x x2 3

3

1 2 9

2

2





















x x x

x

(1  2    x 1 2) 11) (B2–06) 9x2 x1 10.3x2 x 2 1 0

12) (A.06) 3.8x+4.12x–18x–2.27x=0 (x=1)

13) (D–06)2x x2 4.2x2x 22x 4 0

14) (CĐHQ– 05)3 1 22 1 122 0

x

x x

15) (B–07)  2 1   x 2 1  x 2 2 0  (x = ± 1)

16) (D2–03)log (55 x 4) 1

x

17) (B–06)log (45 x 144) 4 log 2 1 log (25 5 x2 1)

18) (B–02)log (log (93 x 72)) 1

1

4.2 3

x

 ( x  log 3)2 20) (D1–06)4x –2x+1 +2(2x–1)sin(2x +y –1) +2 =0 (x =1, y = – 2p–1 +k2π))

21) (D1–06) log (33 x 1) log (33 x1 3) 6

   ( x=log 103  x= 3

28 log

27) 22) (D1–02) 16 3

2 3 27

log x x  3log x x  0 (x=1)

23) (A1–02)

2 1

2

log (4x 4) log (2 x 3.2 )x

( x  2) 24) (A2–04)2 1 2 3 2

25) (A2–03) 15.2x1 1 2x 1 2x1

26) (D1–03) f(x)=x log 2.x Giải bpt f ’(x)≤0 (0 < x  e  x 1) 27) (B3-03) 3x 2x 3 x  2 ( x=0  x=1) 28) xlog 9 2  x23log 2x xlog 3 2 (x = 2 ) 29) log 3 5 log 5

4 x

30) log (2 x25x  5 1) log (3 x25x7) 2 ( 5 5 5 5

31) (A-08) log (2x2x-1 2+ -x 1) log (2x-1)+ x 1+ 2=4 x 2;x 5

4

32) (B-08)

2 0,7 6

4

33) (D-08)

2 1 2

log x - x+ ³ 0

34) (A1-08) 1 2

3

1

+

x

35) (A1-08) esin(x-4p) =tanx x= /4 + k  36) (A2-08)

3

log

2 2log (2x+ +2) log (9x- 1)=1 x= 1; x = 3

2 38) (B2-08) 32x+1- 22x+1- 5.6x £ 0

2 3

1 log 2

£

x

39) (D1-08)22x2-4x-2- 16.22x x- 2-1- 2 0£ 1- 3£ £ +x 1 3

2

3£ x<2 41) (D2-07) log22x- 1= + -1 2

x

x

42) (D2-07) 23x+1- 7.22x+7.2x- 2=0

x= 0; ± 1 43) (A1-07) (log 8 logx + 4x2)log 22 x³ 0 0< £x 21Ú >x 1

log + 4 2

x

2 45) (B1-07)log (3x- 1)2+log (23 x- 1)=2 x=2

3

4

1 log

-x

x

3 ; x= 81