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a) 315+( 146-x)=401
146 - x = 401 - 315
146 - x = 86
x = 146 - 86
x = 60
b) (6x -39) :3 = 201
(6.x -39) = 201x3
(6.x -39) = 603
6.x = 603+39
6.x = 642
x = 624:6
x = 107
c) 23+ 3x = 56:53
23+ 3x =53
23+ 3x = 125
3x = 125 - 23
3x = 102
x = 102:3
x = 34
d) 9x-1 = 9
9x-1 = 91
Suy ra: x-1 =1
x = 1+1
x = 2
e) x4 = 16
x4 = 24
Suy ra: x = 2
f) 2x : 25 = 1
2x = 1x 25
2x = 25
Suy ra : x =5
g) 2x + 1 . 22014 = 22015
2x + 1 = 22015 : 22014
2x + 1 = 2
2x = 2 - 1
x = 1:2
x = \(\frac{1}{2}\)
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1/ 2.x2012 = x2014
<=> 2.x2012 - x2014 = 0
<=> x2012 . ( 2 - 1) = 0
<=> x2012 . 1 = 0
<=> x2012 = 0
<=> x = 0
Vậy x = 0
2/ 2x-1 .8 + 2x - 1 .3 = 44
<=> 2x-1 . ( 8 + 3 ) = 44
<=> 2x-1 . 11 = 44
<=> 2x-1 = 44 : 11
<=> 2x-1 = 4
<=> 2x-1 = 22
<=> x - 1 = 2
<=> x = 3
Vậy x = 3
3/ 22 . 3x = 108
<=> 4 . 3x = 108
<=> 3x = 108 : 4
<=> 3x = 27
<=> 3x = 33
<=> x = 3
Vậy x = 3
~ Hok tốt ~
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ta có:2+4+6+...+2500=x(x +1)
<=>2(1+2+3+...+1250)=x(x+1)
<=>2(1250+1)1250:2=x(x+1)
<=>1250(1250+1)=x(x+1) <=>x=1250
ta co: P=3+3²+3³+...+3^2014
=>3P=3^2+3^3+...+3^2015
=>2P =3^2015-3
=>2P+3=3^2015=3^x
=>x=2015
Vậy x=2015̀̀̀̀̀̀̀̀̀̀̀̀
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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)\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(\Leftrightarrow720:\left[46-2x\right]=40\)
\(\Leftrightarrow46-2x=18\)
\(\Leftrightarrow2x=28\)
\(\Leftrightarrow x=14\)
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1)\(3^{2x}=27\cdot3^x\)
\(\Leftrightarrow3^{2x}=3^3\cdot3^x\)
\(\Leftrightarrow3^{2x}=3^{3+x}\)
\(\Leftrightarrow2x=3+x\)
\(\Leftrightarrow2x-x=3\)
\(\Leftrightarrow x=3\)
Vậy \(x=3\)