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\(5x+2x=6^2-5^0\Leftrightarrow5x+2x=6^2-1\)
\(\Leftrightarrow5x-2x=36-1\Leftrightarrow5x-2x=35\Leftrightarrow x\left(5+2\right)=35\)
\(\Leftrightarrow7x=35\Leftrightarrow x=35:7\Leftrightarrow x=5\)
\(5x+x=150:2+3\Leftrightarrow5x+x=75+3\)
\(\Leftrightarrow5x+x=78\Leftrightarrow x\left(5+1\right)=78\Leftrightarrow x6=78\)
\(\Leftrightarrow x=78:6\Leftrightarrow x=13\)
a) 5x + 2x = 62 - 50
7x = 35 => x = 5
b) 5x + x = 150 : 2 + 3
6x = 78 => x = 13
c) 6x + x = 511 : 59 + 31
7x = 28 => x = 4
d) 5x + 3x = 36 : 33 x 4 + 12
8x = 120 => x = 15
e) 4x + 2x = 68 - 219 : 216
6x = 60 => x = 10
f) 5x + x = 39 - 311 : 39
6x = 30 => x = 5
g) 7x - x = 521 : 519 + 3 x 22 - 70
6x = 36 => x = 6
h) 7x - 2x = 617 : 615 + 44 : 11
5x = 40 => x = 8
a) = - 15.9+5 = -45 + 5 = - 40
b) -31.9 +31. 2,5=31. (-9 + 2,5) = 31 . ( - 6,5) =-201,5
c) 5. (-27) - 36 : 36 = -135 -1=-136
d) = -147 - [68+8.4]:25 =-147 -100: 25 = -147 - 4 = -151
e) -141 +64+(-8)=-77 + ( -8) = -85
g) -20 - 11 - 500:[4.25]+76 =-31- 500: 100 +76 = -31 -5 +76 = - 36 + 76 = 40
1) ( -15 ) . (-3 )2 - 250 : ( -50 )
=( -15 ) . 9 - 250 : ( -50 )
= -135 - ( -5 )
= -130
2) ( -31 ) .32 + 310 : (-2 )2
= (-31). 9+ 310: 4
= 279+ 77, 5
= 365,5
1) \(2^{x+1}\cdot2^{2014}=2^{2015}\)\(\Leftrightarrow2^{2014x+2014}=2^{2015}\)\(\Leftrightarrow2014x+2014=2015\)\(\Leftrightarrow x=\frac{1}{2014}\)
2) \(7x-2x=\frac{6^{17}}{6^{15}}+\frac{44}{11}\)\(\Leftrightarrow5x=6^2+4=36+4=40\)\(\Leftrightarrow x=\frac{40}{5}=8\)
3) \(3^x=9\)\(\Leftrightarrow3^x=3^2\)\(\Leftrightarrow x=2\)
4) \(7x-x=\frac{5^{21}}{5^{19}}+3\cdot2^2-7^0\)\(\Leftrightarrow6x=5^2+3\cdot4-1=25+12-1=36\)\(\Leftrightarrow x=6\)
5) \(4^x=64\)\(\Leftrightarrow4^x=4^3\)\(\Leftrightarrow x=3\)
6) \(9^{x-1}=9\)\(\Leftrightarrow x-1=1\)\(\Leftrightarrow x=0\)
7) \(\frac{2^x}{2^5}=1\)\(\Leftrightarrow2^{x-5}=2^0\)\(\Leftrightarrow x-5=0\)\(\Leftrightarrow x=5\)
8) \(\left(5x-9\right)^3=216\)\(\Leftrightarrow\left(5x-9\right)^3=6^3\)\(\Leftrightarrow5x-9=6\)\(\Leftrightarrow5x=15\)\(\Leftrightarrow x=3\)
9) \(5\cdot3^{7x-11}=135\)\(\Leftrightarrow5.3^{7x-11}=5.3^3\)\(\Leftrightarrow3^{7x-11}=3^3\)\(\Leftrightarrow7x-11=3\)\(\Leftrightarrow7x=14\Leftrightarrow x=2\)
10) \(2.3^x=19\cdot3^8-81^2\)\(\Leftrightarrow2.3^x=19\cdot3^8-3^8=18.3^8=2.3^{11}\)\(\Leftrightarrow3^x=3^{11}\Leftrightarrow x=11\)
Đây là cách làm của mình. Bạn có thể chỉnh sửa tuỳ ý theo cách làm của bạn nhé ^^
Học tốt ^3^
a) x=0
b) x=46
c) hình như sai đề
d)x=4
e)x=6
f)x=8
h) hình như sai đề
i) x=5
j)x=2
l) x= 15 hoặc x = -15
m) x=5
n) x=18,5
o)x=2
u)x thuộc N
p)x =2
s)x=3
k)x=2
z)x=2
a)2^x+1.2^2014=2^2015
2^x+1=2^2015:2^2014
2^x+1=2^1
=>x+1=1
x=2
b)2x-49=5.3^2
2x-49=45
2x=45+49
2x=94
x=47
c)3^2.(x+14)-5^2=5.2^2
9.(x+14)-25=20
9.(x+14)=45
x+14=5
x=11
d)6x+x=5^11:5^9+3^1
x.(6+1)=28
x.7=28
x=4
e)7x-x=5^21:5^19+3.2^2-7^0
x.(7-1)=36
x.6=36
x=6
f)7x-2x=6^17:6^15+44:11
x.(7-2)=40
x.5=40
x=8
g)4^x=6
=>ko tìm dc x
h)9^x-1=9
=>x-1=1
x=2
i)2^x:2^5=1
2^x-5=2^0
=>x-5=0
x=5
j)/x-2/=0
=>x-2=0
x=2
l)/x-5/=7--3
/x-5/=10
TH1:x-5=10
x=15
th2:x-5=-10
x=-5
m)5x+x=39-3^11:3^9
x.(5+1)=30
x.6=30
x=5
u)0:x=0
=>x thuộc Q
p)3^x=9
3^x=3^2
=>x=2
s)4^x=64
4^x=4^3
=>x=3
k)9^x-1=9
=>x-1=1
x=2
z)x^4=16
x^4=2^4
=>x=2
có mấy câu bị trùng đề bài ấy , bạn ạ
\(5x+2x=6^2-5^0\)
\(7x=36-1\)
\(7x=35\)
\(x=5\)
vậy \(x=5\)
\(5x+x=150:2+3\)
\(6x=75+3\)
\(x=78:6\)
\(x=13\)
vậy \(x=13\)
những câu sau tương tự
1) 5x + 2x = 6^2 - 5^0
=> 7x = 36 - 1 = 35
=> x = 35 : 5 = 5.
Vậy x = 5
2) 5x + x = 150 : 2 + 3
=> 6x = 75+3 = 78
=> x = 78 : 6 =13.
Vậy x = 13
3) 6x + x = 5^11 : 5^9 - 3^1
=> 7x = 5^2 -3 = 25 - 3 = 22
=> x = 22 : 7 = 22 / 7.
Vậy x = 22/7
4) 5x + 3x = 3^6 : 3^3 .4 + 12
=> 8x = 3^3 .4 + 12= 27.4 + 12 = 108 + 12 =120
=> x = 120 : 8 = 15.
Vậy x = 15
5) 4x + 2x = 68 - 2^19 : 2^16
=> 6x = 68 - 2 ^3 = 68 - 8 =60
=> x = 60 : 6 =10.
Vậy x = 10
6) 5x + x = 39 - 3^11 : 3^9
=> 6x = 39 - 3^2 = 39 - 9 = 30
=> x = 30 : 6 =5.
Vậy x =5
7) 7x - x = 5^21 : 5^19 + 3. 2^2 - 7^0
=> 6x = 5^2 + 3.4 - 1 = 25 + 12 - 1 = 36
=> x = 36 : 6 = 6.
Vậy x = 6
8) 7x - 2x = 6^17 : 6^15 + 44 : 11
=> 5x = 6^2 + 4 = 36 + 4 = 40
=> x = 40 : 5 = 8 .
Vậy x = 8
1/7x-x=521:519+3.22-70
6x=52+3.4-1
6x=25+12-1
6x=25+11
6x=36
x=36:6
x=3
2/7x-2x=617:615+44:11
5x=62+4
5x=36+4
5x=40
x=40:5
x=8
3/6x+x=511:59+3
7x=52+3
7x=25+3
7x=28
x=28:7
x=4
a) 7x - x = 521: 519 + 3.22 - 70
6x = 52 + 3. 4 - 1
6x = 25 + 12 - 1
6x = 37 - 1
6x = 36
x = 36 : 6
x = 6
b) 7x - 2x = 617 : 615 + 44:11
5x = 62 + 4
5x = 36 +4
5x = 40
x = 40 :5
x = 8
c) 6x + x = 511 : 59 + 3
7x = 52 +3
7x = 25 +3
7x = 28
x = 28 : 7
x = 4
a. 5(x+35)=515
=> x+35=515:5
=> x+35=103
=> x = 103-35
=> x = 68
b. (x+40).15=75.12
=>(x+40).15=900
=>x+40=900:15
=>x+40=60
=>x=60-40
=>x=20
c.460+85.4=(x+200):4
=>460+340=(x+200):4
=>800=(x+200):4
=>800.4=x+200
=>3200=x+200
=>x=3200-200
=>x=3000
5x + x = 39 - 311 : 39
6x = 39 - 32
6x = 39 - 9
6x = 30
x = 30 : 6
x = 5
7x - x = 521 : 519 + 3 . 22 - 70
6x = 52 + 3 . 4 - 1
6x = 25 + 12 - 1
6x = 37 - 1
6x = 36
x = 36 : 6
x = 6
7x - 2x = 617 : 615 + 44 : 11
5x = 62 + 4
5x = 36 + 4
5x = 40
x = 40 : 5
x = 8
0 : x = 0
\(\Rightarrow\)x \(\in\) N*
3x = 9
3x = 32
\(\Rightarrow\) x = 2
4x = 64
4x = 43
\(\Rightarrow\)x = 3
2x = 16
2x = 24
\(\Rightarrow\)x = 4
9x-1 = 9
9x-1 = 91
\(\Rightarrow\)x - 1 = 1
x = 1 + 1
x = 2
x4 = 16
24 = 16
\(\Rightarrow\)x = 2
2x : 25 = 1
2x : 25 = 20
\(\Rightarrow\) 25 : 25 = 20
\(\Rightarrow\)x = 5
1) \(5x+x=39-3^{11}:3^9\)
\(6x=39-3^2\)
\(6x=39-9\)
\(6x=30\)
\(x=30:6\)
\(x=5\)
2) \(7x-x=5^{21}:5^{19}+3.2^2-7^0\)
\(6x=5^2+3.4-1\)
\(6x=25+12-1\)
\(6x=37-1\)
\(6x=36\)
\(x=36:6\)
\(x=6\)
3) \(7x-2x=6^{17}:6^{15}+44:11\)
\(\left(7-2\right)x=6^2+4\)
\(5x=36+4\)
\(5x=40\)
\(x=40:5\)
\(x=8\)
4) \(0:x=0\)
\(\Rightarrow x\in N\)*
5) \(3^x=9\)
\(3^x=3^2\)
\(\Rightarrow x=2\)
6) \(4^x=64\)
\(4^x=4^3\)
\(\Rightarrow x=3\)
7) \(2^x=16\)
\(2^x=2^4\)
\(\Rightarrow x=4\)
8) \(9^{x-1}=9\)
\(\Rightarrow x-1=1\)
\(x=1+1\)
\(x=2\)
9) \(x^4=16\\\)
\(x^4=2^4\)
\(\Rightarrow x=2\)
10) \(2^x:2^5=1\)
\(2^x:32=1\)
\(2^x=32.1\)
\(2^x=32\)
\(2^x=2^5\)
\(\Rightarrow x=5\)
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\(\left(-123\right)-\left[200-4\left(35-40\right)^2\right]\left(-5\right)^2=\left(-123\right)-\left[200-4\left(-5^2\right)\right].25\)
\(=\left(-123\right)-\left(200-4.25\right).25=\left(-123\right)-100.25=\left(-123\right)-2500=-2626\)
\(\left(-141\right)+4^3+\left(-2\right)^3.11=\left(-141\right)+64+\left(-8\right).11=-165\)
\(\left(-212\right)-11-300\div\left[2^2.\left(-5\right)^2\right]-\left(-126\right)\) P/s : Dài thế!
\(=\left(-223\right)-300\div\left(4.25\right)+126=\left(-223\right)-300\div100+126\)
\(=\left(-223\right)-3+126=\left(-226\right)+126=-\left(226-126\right)=-100\)
\(\left(5-x\right).3^9=3^{10}\Leftrightarrow5-x=3^{10}\div3^9=3^1=3\Rightarrow x=5-3=2\)
\(\left(21-x\right)+35=17\Leftrightarrow21-x=17-35=-18\Leftrightarrow x=21-\left(-18\right)=39\)
\(6x+15=-105\Leftrightarrow6x=\left(-105\right)+15=-90\Leftrightarrow x=-90\div6=-15\)