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a) (x-1)2 = 0
=> x - 1 =0 => x = 1
b) (x-5)3 = 8 = 23
=> x-5 = 2 => x = 7
c) 2x + 14 = 81
2x = 80
x = 40
d) (x-4)3 =(x-4)6
=> (x-4)6 -(x-4)3 = 0
(x-4)3. [ (x-4)3 -1 ] = 0
=> (x-4)3 = 0 => x - 4 = 0 => x = 4
(x-4)3 - 1 = 0 => (x-4)3 = 1 => x - 4 = 1 => x = 5
KL:...
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Ta có :
22x - 1 : 4 = 83
=> 22x-1 : 22 = ( 23 )3
=> 22x-1 : 22 = 29
=> 22x-1 = 29 . 22 = 211
=> 2x - 1 = 11
=> 2x = 12
=> x = 6
![](https://rs.olm.vn/images/avt/0.png?1311)
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1. 2x=16\(\Rightarrow\)X=4
2. 22x-1=27
\(\Rightarrow\)27=22.4-1
Vậy x =4
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 2x-3=-x+6
2x - 3 + x - 6 =0
3x -9 = 0
3x = 9
x = 9 : 3
x= 3
c/ \(\left(-12x-4^3\right).8^3=4.8^4\)
\(\left(-12x-64\right).512=16384\)
\(-12x-64=\dfrac{16384}{512}=32\)
\(-12x=32+64=96\)
\(x=\dfrac{96}{\left(-12\right)}=-8\)
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a)152*32*53
=152*32*52*5
=152*(3*5)2*5
=152*152*5
=154*5
b)93*32*63*22
=(9*6)3*(3*2)2
=543*62
=(6*9)3*62
=63*93*62
=65*93
c)82*23
=82*8
=83
d)103*23*52
=(2*5)3*23*52
=23*53*23*52
=26*55
![](https://rs.olm.vn/images/avt/0.png?1311)
a)4^x=64
4^x=4^3
<=>x=3
b)3^x-1=27
3^x-1=3^3
<=>x-1=3
x=3+1
x=4
c)26+8x-6x=46
26+x(8-6)=46
26+2x=46
2x=46-26
2x=20
x=20:2
x=10
d)\(25\le5^x\le625\)
<=>\(5^2\le5^x\le5^4\)
<=>\(2\le x\le4\)
<=>\(x\in\left\{2;3;4\right\}\)
e)10+2x=4^5:4^3
10+2x=4^5-3
10+2x=4^2
10+2x=16
2x=16-10
2x=6
x=6:2
x=3
a) 4x = 64
\(\Rightarrow\)4x = 43
\(\Rightarrow\)x = 3
b) 3x - 1 = 27
\(\Rightarrow\)3x - 1 = 33
\(\Rightarrow\)x - 1 = 3
\(\Rightarrow\)x = 4
c) 26 + 8x - 6x = 46
\(\Rightarrow\)26 + 2x = 46
\(\Rightarrow\)2x = 46 - 26
\(\Rightarrow\)2x = 20
\(\Rightarrow\)x = 10
d) 25 \(\le\)5x \(\le\)625
\(\Rightarrow\)52\(\le\)5x\(\le\)54
\(\Rightarrow\)x \(\in\){ 2 ; 3 ; 4 }
e) 10 + 2x = 45 : 43
\(\Rightarrow\)10 + 2x = 42 = 16
\(\Rightarrow\)2x = 16 - 10
\(\Rightarrow\)2x = 6
\(\Rightarrow\)x = 3
![](https://rs.olm.vn/images/avt/0.png?1311)
2x+4=23
2x+4=8
2x =4
x =2
TL :
2x + 4 = 23
2 . x + 4 = 8
2 . x = 8 - 4
2 . x = 4
x = 4 : 2
x = 2
_HT_