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a, 4x -15=-75-x b,72-3x= 5x+8
4x+x=-75+15 -3x-5x=8-72
5x=-60 -8x=-64
x=-60:5 8x=64
x=-14 x=64:8
x=8
c,3Ix-7I=21 d,-7Ix+3I=-49
Ix-7I=21:3 Ix+3I=-49:-7
Ix-7I=7 Ix+3I=7
x-7=7 hoặc x-7=-7 x+3=7 hoặc x+3=-7
x=14 hoặc x=0 x=4 hoặc x=-10
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`3/4x - 2/3x =2/7*1/6+5/7*1/6`
`-> x(3/4-2/3)=1/6(2/7+5/7)`
`-> 1/12x=1/6`
`-> x=1/6 \div 1/12`
`-> x=2`
Vậy, `x=2`.
3/4x - 2/3x = 2/7 . 1/6 + 5/7 . 1/6
=> x( 3/4-2/3)= 2/7
=> x. 1/12 = 2/7
=> x= 2/7: 1/12
=>x= 24/7
Vậy...
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18 - 4\(x\) = -20 - 6\(x\)
-4\(x\) + 6\(x\) = - 20 - 18
2\(x\) = - 38
\(x\) = - 19
h, -15 \(\times\) 24 = -7\(x\) + 32
7\(x\) = 360 + 32
7\(x\) = 392
\(x\) = 392:7
\(x\) = 56
i, 15\(x\) -3.(4\(x\) - 6) = -12 + 36
15\(x\) - 12\(x\) + 18 = 24
3\(x\) = 24 - 18
3\(x\) = 6
\(x\) = 2
k, -10\(x\) - 27 = -7\(x\) + 33
-27 - 33 = -7\(x\) + 10\(x\)
3\(x\) = -60
\(x\) = -20
![](https://rs.olm.vn/images/avt/0.png?1311)
18x -19 = 21 + 8x
18 x - 8x = 21 + 19
10 x = 40
x =4
g) 18 -4x=-20-6x
-4x + 6x = -20 - 18
2x = -38
x= -19
k, -10 \(x\) - 27 = -7\(x\) + 33
-27 - 33 = -7\(x\) + 10\(x\)
3\(x\) = -60
\(x\) - 20
m, -17\(x\) - 24 = -9\(x\) - 40
-24 + 40 = -9\(x\) + 17\(x\)
8\(x\) = 16
\(x\) = 2
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2:
a: =>2(x+1)=26
=>x+1=13
=>x=12
b: =>(6x)^3=125
=>6x=5
=>x=5/6(loại)
c: =>\(7\cdot3^x\cdot\dfrac{1}{3}+11\cdot3^x\cdot3=318\)
=>3^x=9
=>x=2
d: -2x+13 chia hết cho x+1
=>-2x-2+15 chia hết cho x+1
=>15 chia hết cho x+1
=>x+1 thuộc {1;3;5;15}
=>x thuộc {0;2;4;14}
e: 4x+11 chia hết cho 3x+2
=>12x+33 chia hết cho 3x+2
=>12x+8+25 chia hết cho 3x+2
=>25 chia hết cho 3x+2
=>3x+2 thuộc {1;-1;5;-5;25;-25}
mà x là số tự nhiên
nên x=1
1:
a: Đặt A=2^2024-2^2023-...-2^2-2-1
Đặt B=2^2023+2^2022+...+2^2+2+1
=>2B=2^2024+2^2023+...+2^3+2^2+2
=>B=2^2024-1
=>A=2^2024-2^2024+1=1
c: \(=\dfrac{3^{12}\cdot2^{11}+2^{10}\cdot3^{12}\cdot5}{2^2\cdot3\cdot3^{11}\cdot2^{11}}=\dfrac{2^{10}\cdot3^{12}\left(2+5\right)}{2^{13}\cdot3^{12}}\)
\(=\dfrac{7}{2^3}=\dfrac{7}{8}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1) 5x = 120 : 2
5x = 60
x = 60 : 5
x = 12.
2) 3x + 27 = 45
3x = 45 - 27
3x = 18
x = 18 : 3
x = 6.
3) 73 + x - 122 = 234 : 2
73 + x - 122 = 117
73 + x = 117 + 122
73 + x = 239
x = 239 - 73
x = 166.
4) 32 - 2 ( x - 1 ) = 12
2 ( x - 1 ) = 32 - 12
2 ( x - 1 ) = 20
x - 1 = 20 : 2
x - 1 = 10
x = 10 + 1
x = 11.
5) 3 ( x + 1 ) - 15 = 36
3 ( x + 1 ) = 36 + 15
3 ( x + 1 ) = 51
x + 1 = 51 : 3
x + 1 = 17
x = 17 - 1
x = 16.
6) 32 - ( 4x - 16 ) = 21
4x - 16 = 32 - 21
4x - 16 = 11
4x = 11 + 16
4x = 27
x = 27 : 4
x = 6,75.
7) 13x - 3x = 500
( 13 - 3 )x = 500
10x = 500
x = 500 : 10
x = 50.
8) 9x + x - 35 = 68
9x + 1x - 35 = 68
9x + 1x = 68 + 35
9x + 1x = 103
( 9 + 1 )x = 103
10x = 103
x = 103 : 10
x = 10,3.
1) 5x = 120 : 2
5x = 60
x = 60 : 5
x = 12.
2) 3x + 27 = 45
3x = 45 - 27
3x = 18
x = 18 : 3
x = 6.
3) 73 + x - 122 = 234 : 2
73 + x - 122 = 117
73 + x = 117 + 122
73 + x = 239
x = 239 - 73
x = 166.
4) 32 - 2 ( x - 1 ) = 12
2 ( x - 1 ) = 32 - 12
2 ( x - 1 ) = 20
x - 1 = 20 : 2
x - 1 = 10
x = 10 + 1
x = 11.
5) 3 ( x + 1 ) - 15 = 36
3 ( x + 1 ) = 36 + 15
3 ( x + 1 ) = 51
x + 1 = 51 : 3
x + 1 = 17
x = 17 - 1
x = 16.
6) 32 - ( 4x - 16 ) = 21
4x - 16 = 32 - 21
4x - 16 = 11
4x = 11 + 16
4x = 27
x = 27 : 4
x = 6,75.
7) 13x - 3x = 500
( 13 - 3 )x = 500
10x = 500
x = 500 : 10
x = 50.
8) 9x + x - 35 = 68
9x + 1x - 35 = 68
9x + 1x = 68 + 35
9x + 1x = 103
( 9 + 1 )x = 103
10x = 103
x = 103 : 10
x = 10,3.
a. \(4^{x+5}=32^{40}\)
\(\left(2^2\right)^{x+5}=\left(2^5\right)^{40}\)
\(2^{2x+10}=2^{200}\)
\(2x+10=200\)
2x = 190
x = 95.
b. \(3^{6-3x}=81^3\)
\(3^{6-3x}=\left(3^4\right)^3\)
6 - 3x = 12
3x = 6 - 12
3x = -6
x = -2
c. \(4^{x+3}-3.4^{x+7}=13.4^{11}\)
\(4^{x+3}.1-3.4^{x+3}.4^4=13.4^{11}\)
\(4^{x+3}\left(1-3.4^4\right)=13.4^{11}\)
Bài này sai đề rồi em.
d. \(5.3^{x+6}=2.3^5+3.3^5\)
\(5.3^{x+6}=3^5\left(2+3\right)\)
\(5.3^{x+6}=3^5.5\)
\(3^{x+6}=3^5\)
x + 6 = 5
x = 5 - 6
x = -1.
a) \(4^{x+5}=32^{40}\)
\(\Rightarrow\left(2^2\right)^{x+5}=\left(2^5\right)^{40}\)
\(\Rightarrow2^{2x+10}=2^{200}\)
\(\Rightarrow2x+10=200\)
\(\Rightarrow2x=200-10=190\)
\(\Rightarrow x=190:2=95\)
b) \(3^{6-3x}=81^3\)
\(\Rightarrow3^{6-3x}=\left(3^4\right)^3\)
\(\Rightarrow3^{6-3x}=3^{12}\)
\(\Rightarrow6-3x=12\)
\(\Rightarrow3x=6-12=-6\)
\(\Rightarrow x=\left(-6\right):3=-2\)
c) \(4^{x+3}-3.4^{x+7}=13.4^{11}\)
Sai đề nha
d) \(5.3^{x+6}=2.3^5+3.3^5\)
\(\Rightarrow5.3^{x+6}=\left(2+3\right).3^5\)
\(\Rightarrow5.3^{x+6}=5.3^5\)
\(\Rightarrow x+6=5\)
\(\Rightarrow x=5-6=-1\)
Chúc em học tốt nhé!