( 3x - 24 ) . 73 = 2 . 73
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\(10,\Rightarrow x-14=-8\Rightarrow x=6\\ 11,\Rightarrow7-x-32=-25\\ \Rightarrow-25-x=-25\Rightarrow x=0\\ 12,\Rightarrow3x-16=\dfrac{2\cdot7^4}{7^3}=2\cdot7=14\\ \Rightarrow3x=30\Rightarrow x=10\\ 13,\Rightarrow\left[{}\begin{matrix}x-4=5\\x-4=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=9\\x=-1\end{matrix}\right.\\ 14,\Rightarrow\left(2x+11\right)^2=2^4:2^4=1\\ \Rightarrow\left[{}\begin{matrix}2x+11=1\\2x+11=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-5\\x=-6\end{matrix}\right.\\ 15,\Rightarrow7^{3x-2}=7^3\cdot4+7^3\cdot3=7^3\cdot7=7^4\\ \Rightarrow3x-2=4\\ \Rightarrow3x=6\Rightarrow x=2\)
10) x - [42 + (-28)] = -8
x - 14 = -8
x = -8 + 14 = 6
11) (7-x) - (25 +7) = -25
(7 -x) - 32 = -25
7 -x = -25 + 32 = 7
x = 7 -7 = 0
12) (3x - 24) . 73 = 2 . 74
(3x - 16) . 343 = 4802
3x - 16 = 4802 : 343= 14
3x = 14 + 16 = 30
x = 30 : 3 =10
13) (x - 4)2 = 25
⇒ 52 = 25
⇒ x - 4 = 5
⇒ x = 5 + 4 =9
14) 24(2x + 11)2 = 42
16(2x + 11)2 = 16
(2x + 11)2 = 16 : 16 = 1
⇒ 2x + 11 = 1
⇒ 2x = 11 + 1 = 12
⇒ x = 12 : 2 = 6
15) 73x-2 - 3.73 = 73 . 4
73x-2 - 1029 = 1372
73x-2 = 1372 + 1029 = 2401
⇒ 74 = 2401
⇒ 3x - 2 = 4
⇒ 3x = 4 + 2 = 6
⇒ x = 6 : 3 =2
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(3x-24).73=3.73
(3x-24).73=219
(3x-24)=219:73
(3x-24)=3
3x=3+24
3x=27
x=27:3
x=9
\(\left(3x-24\right).73=3.73\Leftrightarrow3x-24=3\Leftrightarrow3x=3+24=27\Leftrightarrow x=\dfrac{27}{3}=9\)vậy \(x=9\)
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(3x − 24).73 = 2.74
3x − 24 = 2.74 : 73
3x − 24 = 2.74 - 1
3x – 16 = 2.7
3x – 16 = 14
3x = 14 + 16
3x = 30
x = 30 : 3
x = 10
Vậy x = 10
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a) Xem lại đề.
b) 5. (x - 3)2 + 17 = 142
5. (x - 3)2 = 142 - 17
5. (x - 3)2 = 125
(x - 3)2 = 125 : 5
(x - 3)2 = 25
(x - 3)2 = 52 (cùng số mũ)
⇒ x - 3 = 5
x = 5 + 3 = 8
c) [(6x - 72) : 2 - 84] . 28 = 5628
[(6x - 72) : 2 - 84] = 5628 : 28
[(6x - 72) : 2 - 84] = 201
(6x - 72) : 2 = 201 + 84
(6x - 72) : 2 = 285
6x - 72 = 285. 2
6x - 72 = 570
6x = 570 + 72
6x = 642
x = 642 : 6
x = 107
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\(\left(3x-2^4\right).7^3=2.7^4\)
\(\left(3x-2^4\right)=2.7^4:7^3\)
\(\left(3x-2^4\right)=2.7\)
\(\left(3x-2^4\right)=14\)
\(3x-16=14\)
3x=16+14
3x=30
x=30:3
x=10
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73x - 2 - 3. 73 = 73. 4
73x - 2 = 3 . 73 + 73. 4
73x - 2 = 73 . (3 + 4)
73x - 2 = 73 . 7
73x - 2 = 74
=> 3x - 2 = 4
<=> 3x = 6
<=> x = 2
KL: Vậy x = 2
( 3x - 24) . 73 = 2 . 73
( 3x - 24) . 73 = 2 . 343
(3x - 24) . 343 = 686
3x - 24 = 686 : 343
3x - 16 = 2
3x = 2 + 16
3x = 18
x = 18 : 3
x = 6