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Trường hợp 1 : 5x+1 + 5x = 150
=> 5x . 5 + 5x = 150
=> x không thỏa mãn
Trường hợp 2 : 5x+1 + 5x = 150
=> 5x . 5 + 5x = 150
=> 5x (5 + 1) = 150
=> 5x . 6 = 150
=> 5x =150 : 6 = 25
=> x = 2
Vậy x = 2

a. 8x+2x =25. 2 mũ 2
8x+2x=100
(8+2)x=100
10x=100
x=100:10
x=10
b.5x+2x=35
(5+2)x=35
7x=35
x=35:7
x=5

a) 8x + 2x = 25 . 22
8x + 2x = 100
( 8 + 2 )x = 100
10x = 100
x = 100 : 10
x = 10
b) 5x + 2x = 35
( 5 + 2 )x = 35
7x = 35
x = 35 : 7
x = 5
c) 5x + x = 150 : 2 + 3
5x + x = 75 + 3
5x + x = 78
( 5 + 1 )x = 78
6x = 78
x = 78 : 6
x = 13
d) 6x + x = 511 : 59 + 31
6x + x = 52 + 31
6x + x = 25 + 3
6x + x = 28
( 6 + 1 )x = 28
7x = 28
x = 28 : 7
x = 4
e) 5x + 3x = 36 : 33 . 4 + 12
5x + 3x = 33 . 4 + 12
5x + 3x = 27 . 4 + 12
5x + 3x = 108 + 12
5x + 3x = 120
( 5 + 3 )x = 120
8x = 120
x = 120 : 8
x = 15

a, 4.(x-3)=72-13
=> 4(x - 3) = 49 - 1
=> 4(x - 3) = 48
=> x - 3 = 12
=> x = 15
b, 5x+x=150:2+3
=> 6x + = 75 + 3
=> 6x = 78
=> x = 13
a) 4(x-3)=72-13
<=> 4(x-3)=49-1
<=> 4(x-3)=48
<=> x-3=12
<=> x=15
Vậy x=15
b) 5x+x=150:2+3
<=> 6x=75+3
<=> 6x=78
<=> x=13
Vậy x=13

\(5x+2x=6^2-5^0\)
\(7x=36-1\)
\(7x=35\)
\(x=5\)
vậy \(x=5\)
\(5x+x=150:2+3\)
\(6x=75+3\)
\(x=78:6\)
\(x=13\)
vậy \(x=13\)
những câu sau tương tự
1) 5x + 2x = 6^2 - 5^0
=> 7x = 36 - 1 = 35
=> x = 35 : 5 = 5.
Vậy x = 5
2) 5x + x = 150 : 2 + 3
=> 6x = 75+3 = 78
=> x = 78 : 6 =13.
Vậy x = 13
3) 6x + x = 5^11 : 5^9 - 3^1
=> 7x = 5^2 -3 = 25 - 3 = 22
=> x = 22 : 7 = 22 / 7.
Vậy x = 22/7
4) 5x + 3x = 3^6 : 3^3 .4 + 12
=> 8x = 3^3 .4 + 12= 27.4 + 12 = 108 + 12 =120
=> x = 120 : 8 = 15.
Vậy x = 15
5) 4x + 2x = 68 - 2^19 : 2^16
=> 6x = 68 - 2 ^3 = 68 - 8 =60
=> x = 60 : 6 =10.
Vậy x = 10
6) 5x + x = 39 - 3^11 : 3^9
=> 6x = 39 - 3^2 = 39 - 9 = 30
=> x = 30 : 6 =5.
Vậy x =5
7) 7x - x = 5^21 : 5^19 + 3. 2^2 - 7^0
=> 6x = 5^2 + 3.4 - 1 = 25 + 12 - 1 = 36
=> x = 36 : 6 = 6.
Vậy x = 6
8) 7x - 2x = 6^17 : 6^15 + 44 : 11
=> 5x = 6^2 + 4 = 36 + 4 = 40
=> x = 40 : 5 = 8 .
Vậy x = 8

8x + 2x = 25 . 22
(8 + 2)x = 25 . 4
10x = 100
x = 100 : 10
x = 10
5x + 2x = 62 - 50
(5 + 2)x = 36 - 1
7x = 35
x = 35 : 7
x = 5
5x + x = 150 : 2 + 3
(5 + 1)x = 75 + 3
6x = 78
x = 78 : 6
x = 13

\(5x+2x=6^2-5^0\Leftrightarrow5x+2x=6^2-1\)
\(\Leftrightarrow5x-2x=36-1\Leftrightarrow5x-2x=35\Leftrightarrow x\left(5+2\right)=35\)
\(\Leftrightarrow7x=35\Leftrightarrow x=35:7\Leftrightarrow x=5\)
\(5x+x=150:2+3\Leftrightarrow5x+x=75+3\)
\(\Leftrightarrow5x+x=78\Leftrightarrow x\left(5+1\right)=78\Leftrightarrow x6=78\)
\(\Leftrightarrow x=78:6\Leftrightarrow x=13\)
a) 5x + 2x = 62 - 50
7x = 35 => x = 5
b) 5x + x = 150 : 2 + 3
6x = 78 => x = 13
c) 6x + x = 511 : 59 + 31
7x = 28 => x = 4
d) 5x + 3x = 36 : 33 x 4 + 12
8x = 120 => x = 15
e) 4x + 2x = 68 - 219 : 216
6x = 60 => x = 10
f) 5x + x = 39 - 311 : 39
6x = 30 => x = 5
g) 7x - x = 521 : 519 + 3 x 22 - 70
6x = 36 => x = 6
h) 7x - 2x = 617 : 615 + 44 : 11
5x = 40 => x = 8

a)\(5x\cdot5x\cdot5x=\left(5x\right)^3\)
b) \(x^1\cdot x^2\cdot...\cdot x^{2006}=x^{1+2+3+...+2006}=x^{2013021}\)
c)\(x\cdot x^4\cdot x^7\cdot...\cdot x^{100}=x^{1+4+7+...+100}=x^{101\cdot17}=x^{1717}\)
5xx+1+5x=150
=>5x(xx+1)=150
=>xx+1=30/x
=>xx=x+30/x
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