PHNG TRNH MU VA PHNG TRNH LOGARIT

CNG N TPPHNG TRNH MU VA PHNG TRNH LOGARIT

Van e 1: Phng trnh mu

Dang 1. a ve cung c so

Bai 1 : Giai Cac phng trnh sau

1)

2)

3)

4)

5) 52x + 1 3. 52x -1 = 110

6)

7) 2x + 2x -1 + 2x 2 = 3x 3x 1 + 3x - 2 8) (1,25)1 x =

9.

10) (x = -3);

Dang 2. at an phu

Bai 2 : Giai cac phng trnh

1) 22x + 5 + 22x + 3 = 12

2) 92x +4 - 4.32x + 5 + 27 = 0

3) 52x + 4 110.5x + 1 75 = 0

4)

5)

6)

7) 8.

9). 10)

11). 12)

13) 14).

15). 16).

17). 18)

19). 20) 21). 22)

23) 2.16x 17.4x + 8 = 0 (x = ; x = );

24) 25x 12.2x 6,25.0,16x = 0 (x = 1);

25) 4x - (x = 4);

26) 5x 1 + 5.0,2x 2 = 26 (x = 1; x = 3).

27) (x = -3; x = -2);

29) 2x + 2x - 1 + 2x 2 = 3x - 3x - 1 + 3x 2 (x = x = 2); 28) 2x.3x 1.5x 2 = 12 (x = 2);

Dang 3. Logarit hoa

Bai 3 Giai cac phng trnh

a) 2x - 2 = 3

b) 3x + 1 = 5x 2

c) 3x 3 =

d)

e)

f) 52x + 1- 7x + 1 = 52x + 7x

Van e 2: Phng trnh logaritDang 1. a ve cung c so

Bai 5: giai cac phng trnh

a) log4(x + 2) log4(x -2) = 2 log46

b) lg(x + 1) lg( 1 x) = lg(2x + 3)

c) log4x + log2x + 2log16x = 5

d) log4(x +3) log4(x2 1) = 0

e) log3x = log9(4x + 5) +

f) log4x.log3x = log2x + log3x 2

g) log2(9x 2+7) 2 = log2( 3x 2 + 1) h.

i. k.

m). n)

Dang 2. at an phu Bai 6: giai phng trnh

a)

b) logx2 + log2x = 5/2 r)

c) logx + 17 + log9x7 = 0

d) log2x + s)

e) log1/3x + 5/2 = logx3

f) 3logx16 4 log16x = 2log2x

BAT PHNG TRNH MU VA BAT PHNG TRNH LOGARITVan e 1: Bat Phng trnh mu

Bai 8: Giai cac bat phng trnh

1) 16x 4 8

2)

3)

4)

5)

6) 52x + 2 > 3. 5x 7)

Bai 9: Giai cac bat phng trnh

1) 22x + 6 + 2x + 7 > 17

2) 52x 3 2.5x -2 3c)

3) 5.4x +2.25x 7.10x

4) 2. 16x 24x 42x 2 15 5) 4x +1 -16x 2log48

6) 9.4-1/x + 5.6-1/x < 4.9-1/x

Bai 10: Giai cac bat phng trnh

1) 3x +1 > 5

2) (1/2) 2x - 3 3

3) 5x 3x+1 > 2(5x -1 - 3 x 2)

4) 5) 6)

Van e 2: Bat Phng trnh logarit

Bai 11: Giai cac bat phng trnh

1) log4(x + 7) > log4(1 x) 2) log2( x + 5) log2(3 2x) 4 3) log2( x2 4x 5) < 4

4) log1/2(log3x) 0 5) 2log8( x- 2) log8( x- 3) > 2/3 6) log2x(x2 -5x + 6) < 1

7)

8)

9) 10) 11)

12)

Bai 12: Giai cac bat phng trnh

1) log22 + log2x 0

2) log1/3x > logx3 5/2

3) log3(x + 2) log3( 2 x)4) log5(2x + 1) < 5 2x 5) log2( 5 x) > x + 1

HM S M-LOGARIT

Bi 13: Tnh :

a/

b/

c/

d/

e) ;

f) ;

g) ;

h) ;

i) k/ln25 - ln2;

l) log248 - log227;

bi 14 TNH :

a) A = ;

b) B = ;

c) C =;

d) D = ;

e) E =;

f) F =;

Bi 15: a/ Tm gi tr ln nht, gi tr nh nht ca hm s: trn on

b/Tm gi tr ln nht, gi tr nh nht ca hm s trn na khong

BI 16: Tnh o hm ca hm s

A/

b/

c/

d/

e/ y=

Bi 17: Tm tp xc nh ca hm s

a/ b/

c/

Bi 18: a: Cho a = log315, b = log310. Hay tnh theo a va b.

b/: Cho a = log33, b = log35, c = log72. Hay tnh theo a, b va c.

c/: Cho log25 = (. Hay tnh log41250 theo (.

d/ Cho a = log315, b = log310. Hay tnh theo a va b.

e/ Cho a = log33, b = log35, c = log72. Hay tnh theo a, b va c.

f/ Cho a = log23, b = log35, c = log72. Hay tnh log14063 theo a, b, c.

g/ Cho log303 = a, log305 = b. Tnh log302 va log308 theo a va b.

mu

Cu 1: Rt gn biu thc: vi a>0

Cu 2: Tnh: A/ B/ B =;Cu 3: Gii phng trnh:

1)

2) 3/ 6.9x 13.6x + 6.4x = 0 (x = (1);Cu 4: Gii bt phng trnh: 1)

2)

Cu 5: Tm gi tr ln nht, gi tr nh nht ca hm s: trn on [1;e]PAGE 2

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