Vòng lặp While Do

[r]

A.Một số toán bản: 1).Giải phơng trình : a)

2

2 4x x 256 b) 2 5x x 0 01, c) 2x 3x 216 d)

2

1

4 x

x 



2).Giải bất phơng trình

a) 3x+2 < 9 b)

2 2

3x x 27 c)

2 8 20

8

x  x

 



 

 

3) Gi¶i phơng trình :

a) 4x + 2x+1 - = 0. b) 4x +5x = 9x.

c) 3x = 11- x d) 4.9x +12x -3.16x = 0.

e) 9x +2(x-2).3x +2x -5 = 0.

4) Giải phơng trình :

a) Ln x +ln(x+1) = b) lnx(x+1) =0

c) -log3x +2log2x = 2- logx. d) logx +logx2 = log9x.

e) log(x2-x-6)+x = log(x+2) +4. e) log(1+ x) = log 3x

B.Một số thi từ năm 2002-2008 I.Giải ph ơng trình mũ logarit

1).23x+1 -7.22x +7.2x -2 = 0. 2)3.8x +4.12x -18x -2.27x = 0.

3) 9x

+x −1−10 3x2 +x −2

+1=0 4)

2 2

2x x  4.2x x  x 4 5)log3(x-1)2 +

log (2x1)

= 6)logx2 +2log2x4 =

log x8 7)

x −1¿3=0

log√2√x+1−log1

(3− x)−log8¿ 8)log2(4x+15.2x +27 ) +

2

1

log

4.2x 3



9)log4 (x-1) + log2x+14=

1

2+log2√x+2

. 10)( 2-log3x)log9x3 -

4

1 log x 

11)log3(3x-1)log3(3x+1-3) = 12)

2

2 1

log x (2x  x 1) log (2 x x 1) 4 13)log2(4x+15.2x +27 ) +

2

1

log

4.2x 3

 14)2(log2x+1)log4x +log2

1 4 = 0.

15)

2

2 1

log x (2x  x 1) log (2 x x1) 4 16).3x- log

68x = log6(33x + x2 – 9)

17)log2x + 2log7x = + log2xlog7x 18)logx2(2 + x) + log ❑√2+x x = II.Gi¶i bất ph ơng trình logarit

1)

2 0,7

log log

4 x x x       

  . 2)

2 x x x    log

3)(logx8+log4x2)log2 2x0 4) log1

√2x2−3x+1+1

2log2(x −1)

≥1

2

5)logx+1(-2x) > 6)log5(4x +144) -4log52 < + log5(2x-2 + 1)

7)

x+1¿3 ¿ x+1¿2−log3¿

log3¿ ¿ >0 8) 2 x x x    log 9) 3

2log (4x 3) log (2 x3) 2

10)(x + 1)

log1 2

x + ( 2x + 5)

log1

2 x + 6

11)

 1

3 3

2

3

log log x log x 



   

  1. 12)

2 0,7

log log

4 x x x          .

15) x −1¿

2. 1+log6x −1

x+7=

1 2log6¿

16)

4+x¿3

x+1¿2+2=log√2√4− x+log8¿ log4¿

17)