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a) (x-2)^4=(x-2)^6
(x-2)^4 = (x-2)^(4+2)
(x-2)^4=(x-2)^4 + (x-2)^2
(x-2)^4 - (x-2)^4 = (x-2)^2
(x-2)^2 = 0^2
Suy ra : x-2 = 0
x=2
b) 3.5^2x-4 -2 = 5^x . 5^x-4
3.5^2x-4 -2 = 5^2x-4
3 . 5^2x-4 - 5^2x-4 = 0 + 2=2
2 . 5^2x-4=2
5^2x-4 = 2:2=1=5^0
Suy ra : 2x-4=0
2x=4
x=2
Nhớ k nhé!!
2 4 . x - 3 . 5 . x = 5 2 - 2 4
16 . x - 15 . x = 9
x ( 16 - 15 ) = 9
x . 1 = 9
x = 9
a: \(\Leftrightarrow\left[\left(3x+14\right):4-3\right]:2=1\)
=>(3x+14):4-3=2
=>(3x+14):4=5
=>3x+14=20
=>3x=6
hay x=2
b: \(\Leftrightarrow\left[\left(x:4+17\right):10+3\cdot16\right]:10=5\)
\(\Leftrightarrow\left(x:4+17\right):10=50-48=2\)
=>x:4+17=20
=>x:4=3
hay x=12
c: \(\Leftrightarrow2\cdot15^2+\left[2\cdot125-\left(2x+4\right)\cdot5\right]:19=453\)
\(\Leftrightarrow250-\left(2x+4\right)\cdot5=\left(453-450\right)\cdot19=57\)
=>5(2x+4)=197
=>2x+4=197/5
=>2x=177/5
hay x=177/10
d: \(\Leftrightarrow\left(19x+50\right):14=5^2-4^2=9\)
=>19x+50=126
=>19x=76
hay x=4
e: \(\Leftrightarrow2\cdot3^x=10\cdot3^{12}+8\cdot3^{12}=18\cdot3^{12}\)
\(\Leftrightarrow3^x=3^2\cdot3^{12}=3^{14}\)
hay x=14
f: \(\Leftrightarrow3\left(x+2\right):7=30\)
=>3(x+2)=210
=>x+2=70
hay x=68
g: \(2480-1570+200-x+5=1010\)
=>1115-x=1010
hay x=105
a) 2(x-51) = 2^0.2^4 + 5.2^2
2(x-51) = 2^2(2^2+5)
2(x-51) = 36
x-51 = 18
x = 69
Vậy: x = 69
b) 225 : (x-19) = 25
x-19 = 9
x = 28
Vậy: x = 28
c) 4. (x-3)= 7^2-1^0
4. (x-3)= 48
x-3 = 12
x = 15
Vậy: x = 15
d) 3^3(x+4) - 3.5^2= 15.2^2
27 (x+4) - 75 = 60
27 (x+4) = 135
x+4 = 5
x = 1
Vậy: x = 1
e) 2x-7^2 = 5.3^2
2x - 49 = 45
2x = 94
x = 47
Vậy: x = 47
f) 2^3.5^2-(2x+6) = 4^3
200 - 2x - 6 = 64
194 - 2x = 64
2x = 130
x = 65
Vậy: x = 65
g) 135 - 5(x+4) = 35
5(x+4) = 100
x + 4 = 20
x = 16
Vậy: x = 16
h) 75 + 9(x-8) = 318
9(x-8) = 243
x-8 = 27
x = 35
Vậy: x = 35
87 _(321_x ) ÷ 5 = 75
(321 _ x ) ÷ 5 = 87_75
(321 _ x ) ÷5 = 12
(321 _ x) = 12 ×5
321 _ x = 60
X = 321_60
X = 261
2)( 5x _24) × 73 = 2 × 74
(5x _ 24 ) = 2×74÷73
( 5x _ 16) = 2×7
5x _ 16 = 14
5x = 14+ 16
5x = 30
X = 30÷5
X = 6
3)93 + 3×(x_5) = 3×52
93+ 3× ( x _ 5) = 75
3×( x _ 5) = 75_93
3×(x _ 5 ) = _18
(X _ 5) = _18 ÷ 3
X _ 5 = _6
X = _6 + 5
X = _1
Tớ chưa kịp làm tối về giải sau
8x-3^2=3.5^5/5^4
8x-9=3.5
8x-9=15
8x=15-9
8x=6
x=6/8
x=3/2
Hok tốt