( x - 1 ) mũ 5 = -32
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a: =>2x^3=58-4=54
=>x^3=27
=>x=3
b; =>(5-x)^5=2^5
=>5-x=2
=>x=3
c: =>(5x-6)^3=4^3
=>5x-6=4
=>5x=10
=>x=2
d: (3x)^3=(2x+1)^3
=>3x=2x+1
=>x=1
1=>2x3=54
=>x3=27 =>x=3
2=>(5-x)5=25
=>5-x=2
=>x=3
3=>(5x-6)3=43
=>5x-6=4
=>5x=10=>x=2
4=>3x=2x+1
=>x=1
![](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.1+3+5+7+...+2x+1=225
[(2x+1-1):2+1]x(2x+1+1):2=225
(x+1)x(2x+2):2=225
(x+1)x(x+1)=225
(x+1)2=225
(x+1)2=152
x+1=15
x=14
_______________
b. 130-[5.(9-x)+43]=47
5.(9-x)+43=83
5.(9-x)=40
9-x=8
x=1
_______________
c.16x<324
24x<220
=>x∈{0;1;2;3;4}
a: =>(x+1)^2=225
=>x+1=15
=>x=14
b: =>[5*(9-x)+43]=130-47=83
=>5(9-x)=40
=>9-x=8
=>x=1
c: =>2^4x<2^20
=>4x<20
=>0<x<5
![](https://rs.olm.vn/images/avt/0.png?1311)
a;2 mu x =2 mu 6 .Vậy x=6
- b,7 mu x=49
- 7mu x -1x=7 mu 2
- 7mu x=2-1
- x=1
- c,(x+1)mu 5=2 mu 5
- x+1=2
- x=2+1
- x=3
![](https://rs.olm.vn/images/avt/0.png?1311)
\(5^{x+1}=125\)
\(5^{x+1}=5^3\)
\(x+1=3\)
\(x=2\)
b, \(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}=5^2.\left(3+2\right)\)
\(5^{2x-3}=5^3\)
\(2x-3=3\)
\(x=3\)
c, \(2^x=32\)
\(2^x=2^5\)
\(x=5\)
Chúc em học tốt.
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(5^{19}.5^{14}\right):5^{32}=5^{19+14-32}=5^1=5\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(27\cdot5^3\cdot3^3\cdot32^{-1}:125=3^3\cdot5^3\cdot3^3\cdot\dfrac{1}{32}:5^3=\dfrac{3^6}{32}=\dfrac{3^6}{2^5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(x-1\right)^5=-32\Leftrightarrow\left(x-1\right)^5=\left(-2\right)^5\)
Suy ra: \(x-1=-2\Leftrightarrow x=-1\).
( x - 1 )5 = ( - 2 )5 => x - 1 = - 2 => x =( - 2 ) + 1 => x = -1