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a) \(4^{x^{ }}=64\)
\(\Rightarrow4^x=4^3\)
\(\Rightarrow x=3.\)
b) Vì \(35⋮x\)
\(\Rightarrow x\inƯ\left(35\right)=\left\{1;5;7;35\right\}\)
Vậy \(x\in\left\{1;5;7;35\right\}\)
c) \(135-\left(x-5\right)=105:3\)
\(\Leftrightarrow\)\(135-\left(x-5\right)=35\)
\(\Leftrightarrow x-5=135-35\)
\(\Leftrightarrow x-5=100\)
\(\Leftrightarrow x=100+5\)
\(\Leftrightarrow\) \(x=105.\)
d) Vì \(x⋮25\)
\(\Rightarrow x\in B\left(25\right)=\left\{0;25;50;75;100;...\right\}\)
Mà \(x< 100\)
\(\Rightarrow x\in\left\{0;25;50;75\right\}\)
a) 135 - 5(x + 4) = 35
<=> 135 - 5x - 20 = 35
<=> 115 - 5x = 35
<=> 5x = 115 - 35
<=> 5x = 80
<=> x = 16
b) 25 + 3 (x - 8) = 106
=> 3 ( x - 8) = 106 - 25
=> 3 ( x - 8) = 81
=> ( x - 8) = 81: 3
=> x - 8 = 27
=> x = 27 + 8
=> x = .......
m, 2(x-51)=2.2^3+20
2(x-51)=2.6+20
2(x-51)=32
x-51=32:2
x-51=16
x =16+51
x =67
n, 450:(x-19)=50
x-19 =450:50
x-19 =9
x =9+19
x =28
o, 4(x-3)=7^2-1^10
4(x-3)=49-1
4(x-3)=48
x-3 =48:4
x-3 =12
x =12+3
x =15
p, 135-5(x+4)=35
5(x+4) =135-35
5(x+4) =100
x+4 =100:5
x+4 =20
x =20-4
x =16
q, 25+3(x-8)=106
3(x-8) =106-25
3(x-8) =81
x-8 =81:3
x-8 =27
x =27+8
x =35
r, 3^2(x+4)-5^2=5.2^2
9(x+4)-25=20
9(x+4) =20+25
9(x+4) =45
x+4 = 45:9
x+4 =5
x =5-4
x =1
p, 135 - 5(x+4) = 35
⇒ 5(x+4) = 135 - 35
⇒ 5(x+4) = 100
x + 4 = 100 : 5
x + 4 = 20
x = 20 - 4
x = 16
Vậy : x=16
a/ \(\frac{2}{3}.3^{x+1}-7.3^x=405\)
<=> 2.3x-7.3x=-405
<=> 5.3x=405
<=> 3x=81 = 34
=> x=4
b/ (0,4x-1,3)2=5,29=(2,3)2
=> \(\hept{\begin{cases}0,4x-1,3=2,3\\0,4x-1,3=-2,3\end{cases}}\)=> \(\hept{\begin{cases}x=9\\x=-\frac{5}{2}\end{cases}}\)
c/ 5.2x+1.2-2-2x=384
<=> 5.2x-1-2.2x-1=384
<=> 3.2x-1=384
<=> 2x-1=128=27
=> x-1=7 => x=8
d/ 3x+2.5y=45x
<=> 3x+2.5y=32x.5x
=> \(\hept{\begin{cases}x+2=2x\\x=y\end{cases}}\)=> x=y=2
a) 25 + 3 . ( x - 7 ) = 106
3 . ( x - 7 ) = 106 -25
3 . ( x - 7 ) = 81
( x - 7 ) = 81 : 3
x - 7 = 27
x = 27 + 7
x = 34
b) 32 . ( x + 4 ) - 52 = 5. 22
32 . ( x + 4 ) - 52 = 20
32 . ( x + 4 ) = 20 + 52
32 . ( x + 4 ) = 45
( x + 4 ) = 45 : 32
( x + 4 ) = 5
x = 5 - 4
x = 1
c) 4 . ( x - 3 ) = 72 - 110
4 . ( x - 3 ) = 48
( x - 3 ) = 48 : 4
x - 3 = 12
x = 12 + 3
x = 15
tk cho mk nha
a) 25 + 3 . ( x - 7 ) =106
3 . ( x - 7 ) = 106 - 25
3 . ( x -7 ) =81
x - 7 = 81 :3
x - 7 = 27
x = 27 - 7
x =20
b) 9 . ( x+ 4 ) - 25 = 5.4
9 . ( x + 4 ) - 25 = 20
9 . (x + 4 ) = 25 + 20
9 . ( x + 4 ) = 45
x + 4 = 45 :9
x +4 = 5
x = 5 -4
x = 1
c) 4. ( x - 3 ) = 49 -1
4 . ( x - 3 ) = 48
x - 3 = 48 : 4
x -3 =24
x = 24 + 3
x = 27
a) \(\left(-396\right)+2016+189+\left(-604\right)-109\)
\(=-396+2016+189-604-109\)
\(=-\left(396-2016\right)+189-604-109\)
\(=-\left(-1620\right)+189-604-109\)
\(=1620+189-604-109\)
\(=1809-604-109\)
\(=1205-109\)
\(=1096\)
b) \(10-\left|x+3\right|=-8-10\)
\(\Leftrightarrow10-\left|x+3\right|=-\left(8+10\right)\)
\(\Leftrightarrow10-\left|x+3\right|=-18\)
\(\Leftrightarrow\left|x+3\right|=10-\left(-18\right)\)
\(\Leftrightarrow\left|x+3\right|=10+18\)
\(\Leftrightarrow\left|x+3\right|=28\)
Xét trường hợp 1: \(x+3=28\)
\(\Rightarrow x=28-3\)
\(\Rightarrow x=25\)
Xét trường hợp 2: \(x+3=-28\)
\(\Rightarrow x=-28-3\)
\(\Rightarrow x=-\left(28+3\right)\)
\(\Rightarrow x=-31\)
Vậy \(x=25\) hoặc \(x=-31\)
1. \(x=\frac{61}{42}\)
2. \(x=\frac{-36}{5}\)
3. \(x=\frac{13}{11}\)
4. \(x=\frac{1}{12}\)
5.\(x=\frac{-5}{2}\)
\(135-5\cdot\left(x+4\right)=35\)
\(5\cdot\left(x+4\right)=135-35\)
\(5\cdot\left(x+4\right)=100\)
\(x+4=100:5\)
\(x+4=20\)
\(x=20-4\)
\(x=16\)
b) \(25+3\cdot\left(x-8\right)=106\)
\(3\cdot\left(x-8\right)=106-25\)
\(3\cdot\left(x-8\right)=81\)
\(x-8=81:3\)
\(x-8=27\)
\(x=27+8\)
\(x=35\)
c) \(3^2\cdot\left(x+4\right)-5^2=5\cdot2^2\)
\(9\cdot\left(x+4\right)-25=5\cdot4\)
\(9\cdot\left(x+4\right)-25=20\)
\(9\cdot\left(x+4\right)=20+25\)
\(9\cdot\left(x+4\right)=45\)
\(x+4=45:9\)
\(x+4=5\)
\(x=5-4\)
\(x=1\)
Chúc bạn học tốt!!!!!!!!!!!!!!!!!!!!
