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\(27< 3^{x-2}< 243\)
\(\Rightarrow3^3< 3^{x-2}< 3^5\)
\(\Rightarrow3^{x-2}=3^4\)
\(\Rightarrow x-2=4\)
\(\Rightarrow x=4+2=6\)
Vậy...
Ta có : 27 < 3x - 2 < 243
\(\Rightarrow\) 33 < 3x - 2 < 35
\(\Rightarrow\) 3x - 2 = 34
\(\Rightarrow\) x - 2 = 4
x = 4 + 2
x = 6
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x - \(\frac{9}{5}\)= 2.x
x + \(\frac{-9}{5}\)= 2.x
x - x + \(\frac{-9}{5}\)= 2.x - x
\(\frac{-9}{5}\)= x
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a , 3x - 4 = 57 : 56
3x - 4 = 57-6
3x -4 = 5
3x = 9
3x = 32
suy ra x = 2
Vậy x =2
b , 3x-1 = 27
3x-1 = 33
suy ra x - 1 =3 suy ra x = 3-1 =2
Vậy x =2
c , (x-1)3 = 4(x-1)
( x - 1)3 : ( x-1 ) = 4
(x-1)3-1 = 4
(x-1)2 = 22
suy ra x-1 =2 suy ra x = 2+1 =3
Vậy x =3
d , 5x . 5x-2 = 130
5x . 5x : 52 = 130
52x = 130 x 25
52s = 3250
suy ra x thuộc rỗng
Vậy x thuộc rỗng
a) 3^x -4 =5^7 : 5^6
3^x -4 =5
3^x=9
x=2
b ) 3^x-1=26
3^x=27
x=3
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1) 120 + ( 999 - 9x) : 6) = 20
999 - 9x : 6 = 140
999- 9x = 840
9x = 999 - 840
x = 17 dư 7
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Bài 1 bạn tự là nhé dễ lắm :))
Bài 2 :
Ta có :
\(4x-15=-75-x\)
\(\Leftrightarrow\)\(4x+x=-75+15\)
\(\Leftrightarrow\)\(5x=-60\)
\(\Leftrightarrow\)\(x=\frac{-60}{5}\)
\(\Leftrightarrow\)\(x=-12\)
Bài 3 :
Ta có :
\(12⋮\left(x-3\right)\)\(\Rightarrow\)\(\left(x-3\right)\inƯ\left(12\right)\)
Mà \(Ư\left(12\right)=\left\{1;-1;2;-2;3;-3;4;-4;6;-6;12;-12\right\}\)
Suy ra : ( lập bảng )
\(x-3\) | \(1\) | \(-1\) | \(2\) | \(-2\) | \(3\) | \(-3\) | \(4\) | \(-4\) | \(6\) | \(-6\) | \(12\) | \(-12\) |
\(x\) | \(4\) | \(2\) | \(5\) | \(1\) | \(6\) | \(0\) | \(7\) | \(-1\) | \(9\) | \(-3\) | \(15\) | \(-9\) |
Vậy \(x\in\left\{4;2;5;1;6;0;7;-1;9;-3;15;-9\right\}\)
Chúc bạn học tốt
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\(\Rightarrow\hept{\begin{cases}3x-2=-x+4\Rightarrow\\3x-2=x-4\Rightarrow\end{cases}\hept{\begin{cases}x=loại\\x=-1\end{cases}}}\)
\(\Rightarrow\)trị tuyệt đối 3x-2= -x +9-5=-x+4
\(\Rightarrow\hept{\begin{cases}3x-2=-x+4\Rightarrow\\3x-2=x-4\Rightarrow\end{cases}\hept{\begin{cases}x=loại\\x=-1\end{cases}}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) (x+5)+(x-9)=x+2
<=> x+5+x+9-x-2=0
<=> x+12=0
<=> x=-12
b) (27-x)+(15+x)=x-24
<=> 27-x+15+x-x+24=0
<=> -x+66=0
<=> -x=-66
<=> x=66
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\left(27x+6\right):3-11=9\)
\(\Rightarrow\left(27x-6\right):3=20\)\(\Rightarrow27x-6=60\)\(\Rightarrow27x=66\)\(\Rightarrow x=\frac{22}{9}\)
\(b,\left(15-6x\right).3^5=3^6\)
\(\Rightarrow15-6x=3\)\(\Rightarrow6x=12\)\(\Rightarrow x=2\)
\(c,\left(2x-6\right).4^7=4^9\)
\(\Rightarrow2x-6=16\)\(\Rightarrow2x=22\)\(\Rightarrow x=11\)
Bài 1: Tìm x
a,(27.x+6):3-11=9
﴾ 27x + 6﴿ : 3 ‐ 11 = 9
﴾ 27x + 6﴿ : 3 = 20
27x + 6 = 60
27x = 54
x = 54 : 27
x = 2
Vậy x = 2
b,( 15-6x ) . 35=36
( 15 - 6x ) = 36 : 35
15 - 6x = 3
6x = 15 - 3
6x = 12
x = 12 : 6
x = 2
Vậy x = 2
c,( 2x-6 ) . 47=49
2x - 6 = 49 : 47
2x - 6 = 16
2x = 16 + 6
2x = 22
x = 22 : 2
x = 11
Vậy x = 11
\(27^{x-1}=9^2\)
\(\dfrac{27^x}{27}=\left(3^2\right)^2\)
\(27^x=3^4.3^3\)
\(\left(3^3\right)^x=3^7\)
\(3^{3x}=3^7\)
Suy ra 3x=7
\(x=\dfrac{7}{3}\)