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a) 2(x-51) = 2^0.2^4 + 5.2^2
2(x-51) = 2^2(2^2+5)
2(x-51) = 36
x-51 = 18
x = 69
Vậy: x = 69
b) 225 : (x-19) = 25
x-19 = 9
x = 28
Vậy: x = 28
c) 4. (x-3)= 7^2-1^0
4. (x-3)= 48
x-3 = 12
x = 15
Vậy: x = 15
d) 3^3(x+4) - 3.5^2= 15.2^2
27 (x+4) - 75 = 60
27 (x+4) = 135
x+4 = 5
x = 1
Vậy: x = 1
e) 2x-7^2 = 5.3^2
2x - 49 = 45
2x = 94
x = 47
Vậy: x = 47
f) 2^3.5^2-(2x+6) = 4^3
200 - 2x - 6 = 64
194 - 2x = 64
2x = 130
x = 65
Vậy: x = 65
g) 135 - 5(x+4) = 35
5(x+4) = 100
x + 4 = 20
x = 16
Vậy: x = 16
h) 75 + 9(x-8) = 318
9(x-8) = 243
x-8 = 27
x = 35
Vậy: x = 35
a) 135 - 5(x + 4) = 35
<=> 135 - 5x - 20 = 35
<=> 115 - 5x = 35
<=> 5x = 115 - 35
<=> 5x = 80
<=> x = 16
b) 25 + 3 (x - 8) = 106
=> 3 ( x - 8) = 106 - 25
=> 3 ( x - 8) = 81
=> ( x - 8) = 81: 3
=> x - 8 = 27
=> x = 27 + 8
=> x = .......
k) \(2x-49=5.3^2\)
\(2x-49=45\)
\(2x=49+45\)
\(2x=94\)
\(x=47\)
l) \(3^2.\left(x+14\right)-5^2=5.2^2\)
\(9.\left(x+14\right)-25=20\)
\(9.\left(x+14\right)=45\)
\(x+14=5\)
\(x=-9\)
m) \(6x+x=5^{11}:5^9+3^1\)
\(7x=5^{11-9}+3\)
\(7x=5^2+3\)
\(7x=28\)
\(x=4\)
n) \(7x-x=5^{21}:5^{19}+3.2^2-\left(-7^{-0}\right)\)
\(6x=5^{21-19}+12-1\)
\(6x=5^2+11\)
\(6x=36\)
\(x=6\)
o) \(7x-2x=6^{17}:6^{15}+44:11\)
\(5x=6^{17-15}+4\)
\(5x=6^2+4\)
\(5x=40\)
\(x=8\)
o)7x-x=521:519+3.22-70
=> 6x = 5^2 + 12 -1
=> 6x = 36
=> x = 36/6 = 6
Kết quả 6
Học tốt
1) [(52.23-72.2):2].6-7.2
=[(25.8-49.2):2].6-49
=[(200-98):2].6-49
=[102:2].6-49
=51.6-49
=306-49
=257
2)15.(27+18+6)+15.(23+12)
=15.51+15.35
=15.(51+35)
=15.86
=1290
3)(81:33.15):9.(40:8.2)
=(81:27.15):9 .(5.2)
=(3.15):9.10
=45:9.10
=5.10
=50
a -823,5
b 39
c 156
d . là dấu gì nếu dấu nhân thì kết quả là 1003
8 . 2x-1 = 256
2x-1 = 256 : 8
2x-1 = 32
2x-1 = 25
=> x - 1 = 5
x = 5 + 1
x = 6
Ta có: 8.2x-1=256
=> 2x-1=256: 8
=> 2x-1=32
mà 25 = 32 . Nên x= 5+1 = 6
Vậy x = 6
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) 142.16-(7.25+4x) = (64.157) :16
142.16-(7.25+4x)=10048:16
142.16-(7.25+4x)=628
2272-(175+4x)=628
175+4x=2272-628
175+4x=1644
4x=1644-175
4x=1469
x=1469:4
x=367,25
b, [(7x+23):36-25]:29=324
(7x+23):36-25=324.29
(7x+23):36-25=9396
(7x+23):36=9396+25
(7x+23):36=9421
7x+23=9421.36
7x+23=339156
7x=339156-23
7x=339133
x=339133:7
x=48447,57143
a) 72.62 - 72.16 + 72.8
= 72.36 - 72.16 + 72.8
= 72 . ( 36 - 16 + 8 )
= 72 . 28 = 2016
b) 8.2x-1 = 256
16x-1 = 162
x - 1 = 2
x = 2 + 1
x = 3
c) 3.5x - 35 = 5.23
3.5x - 35 = 40
3.5x = 40 + 35
3.5x = 75
5x = 75 : 3 = 25
5x = 52
=> x = 2
d) 345 - ( 7x + 23 ) = 1722 : 6 = 287
7x + 23 = 345 - 287
7x + 23 = 58
7x = 58 - 23 = 35
7x = 35
x = 35 : 7
x = 5
b) 2^x-1 = 256 : 8
2^x-1 = 32
ta thấy : 32 = 2^5
cơ số = cơ số
=> x - 1 = 5
x = 5 = 1
x = 6