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Lời giải:
a.
$4(2x-4)+2=18$
$4(2x-4)=16$
$2x-4=16:4=4$
$2x=4+4=8$
$x=8:2$
$x=4$
b.
\(5^3+(18x-65).3=26^2+10\)
$125+3(18x-65)=686$
$3(18x-65)=686-125=561$
$18x-65=561:3=187$
$18x=187+65$
$18x=252$
$x=252:18=14$
c.
\(|x-10|+2^2.5=5^5\)
$|x-10|+20=3125$
$|x-10|=3125-20=3105$
$\Rightarrow x-10=3105$ hoặc $x-10=-3105$
$\Rightarrow x=3115$ hoặc $x=-3095$
d.
\((x-2)^2-2^3.5=104\)
$(x-2)^2-40=104$
$(x-2)^2=104+40=144=12^2=(-12)^2$
$\Rightarrow x-2=12$ hoặc $x-2=-12$
$\Rightarrow x=14$ hoặc $x=-10$
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a) (2x-1)5 = 2x-1
=> (2x-1)5 - (2x-1) = 0
(2x-1).[(2x-1)4 -1]=0
=> 2x-1 =0 => 2x = 1=> x = 1/2
(2x-1)4 - 1= 0 => (2x-1)4 = 1 = 14 = (-1)4
=> 2x-1= 1 => 2x = 2 => x = 1
2x -1 = -1 => 2x = 0 => x = 0
KL:...
b) 25x.43 = 169
25x = (42)9:43
25x = 418:43
25x = 415 = (22)15 = 230
=> 5x = 30 => x = 6
c) 3x+1+4.3x = 7.36
3x.3+4.3x = 5013
3x.(3+4) = 5013
3x.7 = 5013
3x = 729 = 36
=> x = 6
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3x : 3 = 9
3x = 9 . 3
3x = 27
3x = 33
=> x = 3
c. 42x - 1 : 22 = 16
42x - 1 = 16 . 22
42x - 1 = 64
42x - 1 = 43
=> 2x - 1 = 3
=> 2x = 3 + 1
=> 2x = 4
=> x = 2
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Bài 1 :
a) 1440 : [ 41 - (2x - 5)] = 24.3
=> 1440 : [41 - (2x - 5)] = 16.3
=> 1440 : [41 - (2x - 5)] = 48
=> 41 - (2x - 5) = 1440 : 48 = 30
=> 2x - 5 = 11
=> 2x = 16
=> x = 8
b) 5 . [225 - (x - 10)] - 125 = 0
=> 5 . [225 - (x - 10)] = 125
=> 225 - (x - 10) = 125 : 5
=> 225 - (x - 10) = 25
=> x - 10 = 200
=> x = 210
Bài 2 :
a) [ 545 - (45 + 4.25)] : 50 - 200 : 250 + 215 : 213
= [ 545 - (45 + 100)] : 50 - 4/5 + 22
= [545 - 145] : 50 - 4/5 + 4
= 400 : 50 - 4/5 + 4 = 8 - 4/5 + 4 =56/5
Mấy câu còn lại tương tự
Bài 1.
a, 1440:[41-(2x-5)]=24.3
1440:[41-(2x-5)]= 16.3
1440:[41-(2x-5)]=48
[41-(2x-5)] =1440:48
[41-(2x-5)] = 30
2x-5 = 41-30
2x-5 =11
2x = 11+5
2x = 16
x = 16:2
x =8
b, 5.[225-(x-10)]-125=0
5.[225-(x-10)] =125
[225-(x-10)] =125:5
[225-(x-10)] = 25
(x-10) = 225-25
(x-10) = 200
x =200+10
x = 210
Bài 2.
a, [545-(45+4.25)]:50-200:250+215:213
= [545-(45+100)]:50-200:250+22
= [545-145]:50- 200:250+4
= 400:50-200:250+4
= 8-0,8+4
= 7,2 + 4
= 11,4
b, [504-(25.8+70)]:9-15+190
= [504-(200+70)]:9-15+1
= [504-270]:9-16
= 234:9-16
= 26-16
= 10
c, 5.{26-[3.(5+2.5)+15]:15}
= 5.{26-[3.(5+10)+15]:15}
= 5.{26-[3.15+15]:15}
= 5.{26-[45+15]:15}
= 5.{26-60:15}
= 5.{26-4}
=5.22
= 110
d,[1104-(25.8+40)]:9+316:312
= [1104-(200+40)]:9+34
=[1104-240]:9+34
=864:9+81
=96+81
=177
hok tốt
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\(a)3-\left(17-x\right)=-24+12\)
\(\Leftrightarrow3-17+x=-12\)
\(\Leftrightarrow-14+x=-12\)
\(\Leftrightarrow x=-12+14=2\)
a) 3 - (17 - x) = -24 + 12
=> 3 - 17 + x = -12
=> -14 + x = -12
=> x = -12 + 14
=> x = 2
b) -5 + (16 - x) = 22.3 - 52
=> -5 + 16 - x = 12 - 25
=> 11 - x = -13
=> x = 11 + 13
=> x = 24
c) -26 - (x - 7) = 34 - 92
=> -26 - x + 7 = 81 - 81
=> -19 - x = 0
=> x = -19 - 0
=> x = -19
d) -36 - (4 - x) = 37 + (-5)
=> -36 - 4 + x = 32
=> -40 + x = 32
=> x = 32 + 40
=> x = 72
Tìm x , biết:
a, ( 2x + 1)2 = 93
b, ( 2x + 1)3 = 1252
c, 252< 5x+3 < 254
d, x15= x
e, ( x - 5)4 = ( x-5)6
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A) \(\left(2x+1\right)^2=9^3\)
\(\Rightarrow\left(2x+1\right)^2=9^2\times9\)
\(\Rightarrow2x+1=81\)
\(\Rightarrow2x=81-1\)
\(\Rightarrow2x=80\)
\(\Leftrightarrow x=40\)
B) \(\left(2x+1\right)^3=125^2\)
\(\Rightarrow\left(2x+1\right)^3=5^3\)
\(\Rightarrow2x+1=5\)
\(\Rightarrow2x=5-1\)
\(\Leftrightarrow x=2\)
C) \(25^2< 5^{x+3}< 25^4\)
\(\Leftrightarrow5^4< 5^{x+3}< 5^6\)
\(\Leftrightarrow4< x+3< 6\)
\(\Rightarrow x+3=5\)
\(\Rightarrow x=2\)
D) \(x^{15}=x\)
Nếu \(x>1\)thì \(x^{15}>x\)
Vậy \(x=1\)
E) \(\left(x-5\right)^4=\left(x-5\right)^6\)
\(\Rightarrow\left(x-5\right)^4-\left(x-5\right)^6=0\)
\(\Rightarrow\left(x-5\right)\times\left(1^4-1^6\right)=0\)
\(\Rightarrow x-5=0\)
\(\Leftrightarrow x=5\)
KÍCH MK NHA BẠN
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a,71.2-6.(2x+5)=10^5:10^3
142-6.(2x+5)=10^2
142-6.(2x+5)=100
6.(2x+5)=142-100
6.(2x+5)=42
2x+5=42:6
2x+5=7
2x=7-5
2x=2
x=1
Vậy x=1
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a) \(\text{2(x-51)=2.2^2+20}\)
\(2\left(x-51\right)=2.4+20\)
\(2\left(x-51\right)=28\)
\(x-51=28\div2\)
\(x-51=14\)
\(x=14+51\)
\(\text{b)3.(x+1)-26=541}\)
\(3.\left(x+1\right)=541+26\)
\(3\cdot\left(x+1\right)=567\)
\(x+1=567\div3\)
\(x+1=189\)
\(x=189-1\)
\(x=188\)
\(x=65\)
\(\text{c)4(x-3)=7^2-1^10}\)
\(4\left(x-3\right)=49-1\)
\(4\left(x-3\right)=48\)
\(x-3=48\div4\)
\(x-3=12\)
\(x=12+3\)
\(x=15\)
\(\text{e)2x-138=2^3.3^2}\)
\(2x-138=8\cdot9\)
\(2x-138=72\)
\(2x=72+138\)
\(2x=210\)
\(x=210\div2\)
\(x=105\)
\(\text{f)(x-1)^4=16}\)
\(\left(x-1\right)^4=2^4\)
\(x-1=2\)
\(x=2+1\)
\(x=3\)
a) 5x . 52 = 540 b) 34 . 3x = 326 . 9
=> x .2 = 40 => 34 . 3x = 326 . 32
=> x = 40 : 2 => 34 . 3x = 328
=> x = 20 => 4 . x = 28
=> x = 7
c) 42x . 4 = 162
=> 42x . 4 = 44
=> 2x . 1 = 4
=> 2x = 4
=> x = 2
a) 5x . 52 = 540 b) 34 . 3x = 326 . 9
=> x .2 = 40 => 34 . 3x = 326 . 32
=> x = 40 : 2 => 34 . 3x = 328
=> x = 20 => 4 . x = 28
=> x = 7
c) 42x . 4 = 162
=> 42x . 4 = 44
=> 2x . 1 = 4
=> 2x = 4
=> x = 2