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Bai tap PT mu va PT logarit

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(1)

Bài : Giải phương trình sau : 1/ 3x2+6x+8

=1 2/ 23x −2

=5

3/ 2x2

−3x+2=3x −1 4/ 4x2+3x+5

=(1 2)

x−1

5/ 22x −3=41− x 6/ (√5)4x−12=( 25)

3− x

7/ 27x+2

=(1 3)

2− x

8/ 93x=3x2+5 9/ 5x x√8x−1=500 10/ (x2+2)x

2

+3x+5

=(x2+2)x+3

11/ (x −2)x

+1

=(x −2)2 12/ 42x−5 4x+4=0

13/ 9x−3x=3 14/ 9x2

4x+13x+2=0 15/ 9x−2 3x+1

+9=0 16/ 52x−12 5x−1=0,2

17/ 32x+5

=3x+2+2 18/ 5x−24=25

5x

19/ 3x−4 3− x+3=0 20/ 9x−2 4x=6x

21/ 22x−6x=18 32x 22/ 9x

+6x=22x+1

23/ 64 9x−84 12x+27 16x=0 24/ 16x+2 81x=5 36x

25/ 4x+1

5 6x+1

+2 9x+1=0 26/ 6 91x−13 6

1 x

+6

1 x

=0

27/ 4x−7 10x

+2 25x=0 28/ (2+√3)x+(2√3)x=4

29/ (√33√8)x+(√3 3+√8)x=6 30/

7+√48¿x ¿

7√48¿x ¿ ¿ ¿

√¿

31/ (4+√15)x+(4√15)x=8 32/ (7+4√3)x−3(2√3)x+2=0

33/

5+2√6¿x ¿

52√6¿x ¿ ¿ ¿

√¿

34/ 5x−1=10x.2− x.5x+1

35/ 3x+15x+2

=3x+45x+3 36/ 73x+9 52x=25x+9 73x

37/ 52x=32x

+2(5x+3x) 38/ 22x −1+32x+52x+1=2x+3x+1+5x+2

39/ 3x + x -4 = 0 40/

(13)

x

=x+4

41/ x2 –(3-2x)x + 2(1-2x) = 0 42/ 9-x –(x+2)3-x - 2(x+4) = 0

43/25x –2(3-x)5x + 2x-7 = 0 44/ 4x +9x + 16x = 81x

Baøi : Giải phương trình sau :

1/ log3(2x+5) – = 2/ log1

2

(3x25x)+3=0

3/ log5(2x+1)+log5(2− x)=0 4/ log2(x+5)log2(x+2)=1 5/

log2(x −5)+log1

(2x+1)=log26 6/ lg5+lg(x+10)-1= lg(21x-20)-lg(2x-1)

7/ log8x + log64x = 12 8/ log5x=log5(x+6)log5(x+2) 9/

(2)

11/ log2(x+3)=1+log2(x −1) 12/ log3(log1

x)=0

13/

logx−19 log2¿=0 log1

2

¿ 14/ log2(92

x)=3− x 15/

log3(x −5)log321

2log3(3x −20) 16/ log5(x+20) logx√5=1 17/ logx+1(2x

3

+2x23x+1)=3 18/ log4(log2x)+log2(log4x)=2 19/ log4(x+3)log2(x −1)=2log48 20/ log3x+log√3x+log1

3

x=6

21/ lg2x −3 lgx=lg(x2)4 22/ log2x=log43x+2 23/ log3x¿25 log39x+3=0

2¿ 24/

log1

3

x −3√log1

3

x+2=0

25/ log2(x −5)+log1

(2x+1)=log26 26/ log

2x −logx8=2 27/ logx2log4x+7

6=0 28/2x – lg(52x +x -2) = lg 4x

29/ 41lgx+

2+lgx=1 30/ log3[1+log3(2

x

7)]=1

31/ (x+2)log32(x+1)+4(x+1)log3(x+1)16=0 32/ log4(182x) log2182

x

8 =1

33/ xlg 4+4lgx

=32 34/ xlg 94 3lgx+3=0

35/ 3x¿log3x=27

xlog33x+2

¿ 36/

log3x

5log3x =400

37/ 4lg 10x6lgx=2 3lg(100x2

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