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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) ( 6x - 84) : 2 - 72 = 201
( 6x - 84) : 2=201+72
( 6x - 84) : 2=273
6x - 84=273x2
6x - 84=546
6x=546+84
6x=630
x=630:6
x=105
b) ( 3x - 34 ) . 63 = 65
3x - 34=65:63
3x - 34=62
3x-81=36
3x=36+81
3x=117
x=117:3
x=39
a) ( 6x - 84) : 2 - 72 = 201
=> (6x - 84) : 2 = 273
=> 6x - 84 = 546
=> 6x = 630
=> x = 105
b) ( 3x - 34 ) . 63 = 65
=> 3x - 34 = 65 : 63 = 62 = 36
=> 3x = 36 + 34 = 36 + 81 = 117
=> x = 39
3n = 53: 5 + 25 : 24
3n = 53-1 + 25-4
3n = 52 + 21
3n = 25 + 2
3n = 27
3n = 33
=> n=3
a, 13.(x-9)=169
x-9 =169:13
x-9 =13
b, 230+[16+(x,-5)]=315.2\(^3\)
230+[16+(x,-5)]=2520
16+(x,-5)=2520-230
16+(x-5)=2290
x-5 =2290-16
x-5 =2274
x =2274+5
x =2279
c, 13x-3\(^2\)x=2003\(^1\)+1\(^{2016}\)
13x-9x=2004
(13-9)x=2004
4 . x=2004
x=2004:4
x=501
a, \(\left|2x+1\right|=3\)
=> 2x + 1 = 3 hoặc 2x + 1 = -3
=> 2x = 3 - 1 hoặc 2x = -3 - 1
=> 2x = 2 hoặc 2x = -4
=> x = 1 hoặc x = -2
b, \(2\frac{1}{2}x+1\frac{1}{2}=2\frac{2}{3}\)
=> \(\frac{5}{2}x+\frac{3}{2}=\frac{8}{3}\)
=> \(\frac{5}{2}x=\frac{8}{3}-\frac{3}{2}\)
=> \(\frac{5}{2}x=\frac{16-9}{6}\)
=> \(\frac{5}{2}x=\frac{7}{6}\)
=> \(x=\frac{7}{6}:\frac{5}{2}=\frac{7}{6}\cdot\frac{2}{5}=\frac{7}{3}\cdot\frac{1}{5}=\frac{7}{15}\)
c, \(3\cdot5^{x-3}+1=16\)
=> 3 . 5x-3 = 16 - 1
=> 3 . 5x-3 = 15
=> 5x-3 = 15 : 3
=> 5x-3 = 5
=> x - 3 = 5 : 5
=> x - 3 = 1
=> x = 1 + 3 = 4
d, \((x-1)^2=25\)
=> \((x-1)^2=5^2\)
=> x - 1 = 5 hoặc x - 1 = -5
=> x = 6 hoặc x = -4
e, \((-2)^2+\left|3x+1\right|=(-28)\cdot7\)
=> 4 + |3x + 1| = -196
=> |3x + 1| = -196 - 4 = -200
=> |3x + 1| = -200
Không thỏa mãn điều kiện
a) 3x = 32 . 33
3x = 35
=> x = 5
b)5x =125 .25
5x = 53 . 52
5x = 55
=> x = 5
c) 8 =2x
23 = 2x
=> x = 3
d) x = 4
e)x = 3
f)x = 4
52x - 3 - 2 . 52 = 52 . 3
52x - 3 = 52 . 3 + 2 . 52
52x - 3 = 52 . 5
52x - 3 = 53
Ta có : 2x - 3 = 3
=> x = 0
=> 52x - 3 = 52.3 + 2.52
=> 52x - 3 = 52(3 + 2)
=> 52x - 3 = 52.5
=> 52x - 3 = 53
=> 2x - 3 = 3
=> 2x = 3 + 3
=> 2x = 6
=> x = 6:2
=> x = 3