\(^{2^x+2^{x+1}+2^{x+2}+2^{x+3}=960}\)
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\(2^x+2^{x+1}+2^{x+2}=960-2^{x+3}\)
\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=960\)
\(2^x.\left(1+2+2^2+2^3\right)=960\)
\(2^x.15=960\)
\(2^x=64\)
\(2^x=2^6\)
Vậy x=6
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`Answer:`
a. \(\left(x-3\right)+\left(x-2\right)+\left(x-1\right)+...+9+10+11=11\)
\(\Leftrightarrow x-3+x-2+x-1+...+9+10+11=11\)
\(\Leftrightarrow3x+\left(-3-2-1+0+...+11\right)=11\)
\(\Leftrightarrow3x+60=11\)
\(\Leftrightarrow3x=-49\)
\(\Leftrightarrow x=-\frac{49}{3}\)
b. \(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+100\right)=5750\)
\(\Leftrightarrow\left(x+x+x+...+x\right)+\left(1+2+3+...+100\right)=5750\)
\(\Leftrightarrow100x+[\left(100+1\right).100:2]=5750\)
\(\Leftrightarrow100x+5050=5750\)
\(\Leftrightarrow100x=700\)
\(\Leftrightarrow x=7\)
c. \(2^x+2^{x+1}+2^{x+2}=960-2^{x+3}\)
\(\Leftrightarrow2^x+2^x.2+2^x.2^2+2^x.2^3=960\)
\(\Leftrightarrow2^x+2.2^x+4.2^x+8.2^x=960\)
\(\Leftrightarrow2^x.\left(1+2+4+8\right)=960\)
\(\Leftrightarrow2^x.15=960\)
\(\Leftrightarrow2^x=64\)
\(\Leftrightarrow x=6\)
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3 . ( 5x -1 ) - 2 = 70
3 . ( 5x -1 ) = 70 + 2
3 . ( 5x -1 ) = 72
5x -1 = 72 : 3
5x -1 = 24
5x = 24 + 1
5x = 25
5x = 52
=> x = 2
a, \(x+\left(x+1\right)+\left(x+2\right)+...+\left(x+90\right)=5450\)
\(\left(x+x+x+...+x\right)+\left(1+2+3+...+90\right)=5450\)
\(91x+4095=5450\)
\(91x=1355\)
\(x=\frac{1355}{91}\)
b, \(2^x+2^{x+1}+2^{x+2}=960-2^{x+3}\)
\(2^x+2^x.2+2^x.2^2+2^x.2^3=960\)
\(2^x\left(1+2+2^2+2^3\right)=960\)
\(2^x.15=960\)
\(2^x=64=2^6\)
\(\Rightarrow x=6\)
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a) 3x.3x+2 =81
3x.3x.32 =81
3x.3x.9 =81
3x.3x =81/9
3x.3x =9
31.31 =9
x =1
b)2(x+15)+3(x+25)=2050
2(x+15)+3(x+15+10)=2050
2(x+15)+3(x+15)+3.10=2050
(x+15)(2+5)+30=2050
(x+15)5=2050-30
(x+15)5=2020
x+15=2020/5
x+15=404
x =404-15
x =389
c)2x+2x+1+2x+2+2x+3=960
2x+2x.2+2x.22+2x.23=960
2x(1+2+22+23)=960
2x(1+2+4+8)=960
2x.15=960
2x =960/15
2x =64
26 =64
x =6
bài d làm tương tự c,e làm tương tự a
f)3x.32x+3=729
33x.33=729
33x.27 =729
33x =729/27
33x =27
33.1 =27
x =1
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a)x-1,44:1,2=5,9
x-1,44=5,9x1,2
x-1,44=7,08
x=7,08+1,44
x=8,52
b)86,5-x:8,6=23,7
x:8,6=86,5-23,7
x:8,6=62,8
x=62,8x8,6
x=540,08
chúc bạn học tốt !!!
\(2^x+2^{x+1}+2^{x+2}+2^{x+3}=960\)
\(2^x+2^x\cdot2+2^x\cdot2^2+2^x\cdot2^3=960\)
\(2^x\cdot\left(1+2+2^2+2^3\right)=960\)
\(2^x\cdot15=960\)
\(2^x=64=2^6\)
\(\Rightarrow x=6\)
2x + 2x+1 + 2x+2 + 2x+3 = 960
2x + 2x .2 + 2x.4 + 2x.8 = 960
2x.(1+2+4+8) = 960
2x . 15 = 960
2x = 64 = 26
=> x = 6