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a) \(\left(x-1\right)^3=125\)
\(\Leftrightarrow\left(x-1\right)^3=5^3\)
\(\Leftrightarrow x-1=5\)
\(\Leftrightarrow x=5+1\)
\(\Leftrightarrow x=6\)
Vậy \(x=6\)
b) \(2^{x+2}-2^x=96\)
\(\Leftrightarrow\left(2^2-1\right)\cdot2^x=96\)
\(\Leftrightarrow\left(4-1\right)\cdot2^x=96\)
\(\Leftrightarrow3\cdot2^x=96\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
Vậy \(x=5\)
c) \(\left(2x+1\right)^3=343\)
\(\Leftrightarrow\left(2x+1\right)^3=7^3\)
\(\Leftrightarrow2x+1=7\)
\(\Leftrightarrow2x=7-1\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=3\)
Vậy \(x=3\)
d) \(720:\left[41-\left(2x-5\right)\right]=2^3\cdot5\)
\(\Leftrightarrow720:\left[41-\left(2x-5\right)\right]=2^3\cdot5\left(đk:x\ne23\right)\)
\(\Leftrightarrow720:\left(41-2x+5\right)=8\cdot5\)
\(\Leftrightarrow720:\left(46-2x\right)=40\)
\(\Leftrightarrow\dfrac{720}{46-2x}=40\)
\(\Leftrightarrow\dfrac{720}{2\left(23-x\right)}=40\)
\(\Leftrightarrow\dfrac{360}{23-x}=40\)
\(\Leftrightarrow360=40\left(23-x\right)\)
\(\Leftrightarrow9=23-x\)
\(\Leftrightarrow x=23-9\)
\(\Leftrightarrow x=14\left(đk:x\ne23\right)\)
\(\Leftrightarrow x=14\)
Vậy \(x=14\)
e) \(2^x\cdot7=224\)
\(\Leftrightarrow7\cdot2^x=224\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
Vậy \(x=5\)
f) \(\left(3x+5\right)^2=289\)
\(\Leftrightarrow3x+5=\pm17\)
\(\Leftrightarrow\left[{}\begin{matrix}3x+5=17\\3x+5=-17\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-\dfrac{22}{3}\end{matrix}\right.\)
Vậy \(x_1=-\dfrac{22}{3};x_2=4\)
a)\(\left(x-1\right)^3=125\Leftrightarrow\left(x-1\right)^3=5^3\Leftrightarrow x-1=5\Leftrightarrow x=6\)b)\(2^{x+2}-2^x=96\Leftrightarrow2^x.2^2-2^x=96\Leftrightarrow2^x\left(2^2-1\right)=96\Leftrightarrow2^x.3=96\Leftrightarrow2^x=32\Leftrightarrow x=5\)c)\(\left(2x-1\right)^3=343\Leftrightarrow\left(2x-1\right)^3=7^3\Leftrightarrow2x-1=7\Rightarrow2x=8\Rightarrow x=4\)d)\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(720:\left[41-\left(2x-5\right)\right]=40\Leftrightarrow\left[41-\left(2x-5\right)\right]=720:40=18\)
\(\Leftrightarrow41-2x+5=18\Leftrightarrow36-2x=18\Leftrightarrow2x=18\Leftrightarrow x=9\)
e)\(2^x.7=224\Leftrightarrow2^x=224:7=32\Leftrightarrow2^x=2^5\Leftrightarrow x=5\)
f) \(\left(3x+5\right)^2=289\Leftrightarrow\left(3x+5\right)=17^2\Leftrightarrow3x+5=17\Leftrightarrow3x=12\Leftrightarrow x=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)\(\left(x-1\right)^3=8\)
\(\Leftrightarrow\left(x-1\right)^3=\left(2\right)^3\)
\(\Leftrightarrow x-1=2\)
\(\Leftrightarrow x=3\)
b)\(2^{x+2}-2^x=96\)
\(\Leftrightarrow2^x.2^2-2^x=96\)
\(\Leftrightarrow2^x\left(2^2-1\right)=96\)
\(\Leftrightarrow2^x=32=2^5\)
\(\Leftrightarrow x=5\)
c)\(\left(2x+1\right)^3=343\)
\(\Leftrightarrow\left(2x+1\right)^3=7^3\)
\(\Leftrightarrow\left(2x+1\right)=7\)
\(\Leftrightarrow x=3\)
d)\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(\Leftrightarrow720:\left[46-2x\right]=40\)
\(\Leftrightarrow46-2x=18\)
\(\Leftrightarrow2x=28\)
\(\Leftrightarrow x=14\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, vì : 32 = 9
=> x - 6 = 3
=> x = 9
b, 720 : [ 41 - ( 2x - 5 ) ] = 40
41 - ( 2x - 5 ) = 720 : 40 = 18
2x - 5 = 41 - 18 = 23
2x = 23 + 5 = 28
x = 28 : 2 = 14
c, ( 4x + 28 ) . 3 + 55 = 35 . 5 = 175
( 4x + 28 ) . 3 = 175 - 55 = 120
4x + 28 = 120 : 3 = 40
4x = 40 - 28 = 12
x = 12 : 4 = 3
**** GIÙM MK NHA , TKS
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720 : [41 - (2x - 5)] = 23.5
=> 720 : [41 -(2x - 5)] = 40
=> 41 - (2x - 5) = 720 : 40
=> 41 - (2x - 5) = 18
=> 2x - 5 = 41 - 18
=> 2x - 5 = 23
=> 2x = 23 + 5
=> 2x = 28
=> x = 14
=> 41-2x+5= 720:(8.5)
=> 46-2x= 720:40
=> 46-2x= 18
=> 2x= 28
=> x=14
Vậy x=14
![](https://rs.olm.vn/images/avt/0.png?1311)
720 : [41-(2x-5)] = 2^3 . 5
720 : [41-(2x-5) ] =40
=> 41-(2x-5) =18
=> 2x-5 =23
=> 2x =28
=> x=14
720: ( 41-(2x-5) ) = 23 . 5
<=> 720 : ( 41 - ( 2x-5 ) ) = 8.5
<=> 720 : ( 41 - (2x -5 ) ) = 40
<=> ( 41 - ( 2x - 5) ) = 720 : 40 = 18
<=> 2x - 5 = 41 -18 = 23
<=> 2x = 23+5 =28
=> x = 28 : 2 =14
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(x-1\right)^3=125\)
\(\left(x-1\right)^3=5^3\)
\(=>x-1=5\)
\(x=6\)
Tương tự các câu cn lại
a) ( x - 1 ) 3 = 125
( x - 1 ) 3 = 53
x - 1 = 5
x = 5 + 1
x = 6
tích nha
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 720:[41-(2x-5)]=8*5
720:[41-(2x-5)]=40
41-(2x-5) = 720:40
41-(2x-5) = 18
2x-5 =41-18
2x-5 =23
2x =23+5
2x =28
x =28:2
x=14
b) x+(x+1)+(x+2)+......+(x+30)=1240
x+x+1+x+2+...+x+30=1240
(x+x+x+....+x) + (1+2+3+....30)=1240
31*x + \(\frac{\left(30+1\right)\cdot30}{2}\)=1240
31*x + 465 =1240
31*x=1240-465
31*x =775
x = 775:31
x=25
tick mình nhé
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(x - 1)3 = 125
=> (x - 1)3 = 53
=> x - 1 = 5
=> x = 5 + 1
=> x = 6
(2x + 1)3 = 343
=> (2x + 1)3 = 73
=> 2x + 1 = 7
=> 2x = 7 - 1
=> 2x = 6
=> x = 3
720 : [41 - (2x - 5)] = 23.5
=> 720:[41 - (2x - 5)] = 40
=> 41 - (2x - 5) = 720 : 40
=> 41 - (2x - 5) = 18
=> 2x - 5 = 41 - 18
=> 2x - 5 = 23
=> 2x = 23 + 5
=> 2x = 28
=> x = 14
`(2x+1)^3=343`
`(2x+1)^3 = 7^3`
`2x+1=7`
`2x=7-1`
`2x=6`
`x=6:2`
`x=3`
Vậy `x=3`
____________________________
`720 : [ 41-(2 xx x-5)]= 2^3 . 5`
`720 : [ 41-(2 xx x-5)]= 40`
`41-(2 xx x-5) = 720 : 40`
`41-(2 xx x-5)= 18`
`2 xx x -5 = 41 - 18`
`2 xx x -5 = 23`
`2 xx x =23 + 5`
`2 xx x =28`
`x=28 : 2`
`x=12`
Vậy `x=12`
c, ( 2x + 1 )3 = 343
( 2x + 1 )3 = 73
2x + 1 = 7 \(\Rightarrow\) x = ( 7 - 1 ) : 2 = 3
d) 720 : [ 41 - ( 2x - 5 ) ] = 23.5
720 : [ 41 - ( 2x - 5 ) ] = 40
41 - ( 2x - 5 ) = 720 : 40 = 18
2x - 5 = 41 - 18 = 23
2x = 23 + 5 = 28 \(\Rightarrow\) x = 28 : 2 = 14