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5 + ( x + 27 ) = 64
( x + 27 ) = 64 - 5 ( x + 27 ) = 59 x = 59 - 27 x = 32a) \(\Rightarrow x+27=59\Rightarrow x=32\)
b) \(\Rightarrow x-2=39\Rightarrow x=41\)
c) \(\Rightarrow x+5=-322\Rightarrow x=-327\)
d) \(\Rightarrow5x=35\Rightarrow x=7\)
e) \(\Rightarrow4\left(x-5\right)=56\Rightarrow x-5=14\Rightarrow x=19\)
f) \(\Rightarrow15+x=37\Rightarrow x=22\)
g) \(\Rightarrow7\left(13-x\right)=35\Rightarrow13-x=5\Rightarrow x=8\)
h) \(\Rightarrow10\left(x+1\right)=100\Rightarrow x+1=10\Rightarrow x=9\)
a. 2x + 70 = 74
<=> 2x = 4
<=> x = 2
b. 120 - \(\dfrac{4x}{2}\) = 80
<=> 120 - 2x = 80
<=> 120 - 80 = 2x
<=> 2x = 40
<=> x = 20
c. (3x + 5)2 = 400
<=> \(|3x+5|=\sqrt{400}\)
<=> \(|3x+5|=20\)
<=> \(\left[{}\begin{matrix}3x+5=20\\3x+5=-20\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=\dfrac{-25}{3}\end{matrix}\right.\)
a.
\(\left(3x-2^4\right)\times7^3=2\times7^4\)
\(3x-2^4=2\times7^4\div7^3\)
\(3x-16=2\times7\)
\(3x-16=14\)
\(3x=14+16\)
\(3x=30\)
\(x=\frac{30}{3}\)
\(x=10\)
b.
\(2130-\left(x+130\right)+72=-64\)
\(2130-\left(x+130\right)=-64-72\)
\(2130-\left(x+130\right)=-136\)
\(x+130=2130+136\)
\(x+130=2266\)
\(x=2266-130\)
\(x=2136\)
c.
\(15-\left(-x+18\right)=-24\)
\(\left(-x+18\right)=15+24\)
\(-x+18=39\)
\(-x=39-18\)
\(-x=21\)
\(x=-21\)
d.
\(10-\left|x+3\right|=-4-\left(-10\right)\)
\(\left|x+3\right|=10+4-10\)
\(\left|x+3\right|=4\)
\(x+3=\pm4\)
TH1:
\(x+3=4\)
\(x=4-3\)
\(x=1\)
TH2:
\(x+3=-4\)
\(x=-4-3\)
\(x=-7\)
Vậy x = 1 hoặc x = - 7.
\(2^{10}.2^{x+4}=64^5\)
\(\Leftrightarrow2^{x+14}=2^{30}\)
\(\Leftrightarrow x+14=30\)
\(\Leftrightarrow x=16\)
\(5^x+5^{x+3}=630\)
\(\Rightarrow5^x.1+5^x.125=630\)
\(\Rightarrow5^x.126=630\)
\(\Rightarrow5^x=5\)
\(\Rightarrow x=1\)
\(x+\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+..............+\left(x+100\right)=7450\)
\(\Rightarrow\left(x+x+x+x+.........+x\right)+\left(1+2+3+..........+100\right)=7450\)
\(101x+5050=7450\)
Đến đây tự tính
`1/4. 2/6. 3/8. 4/10........ 30/62. 31/64=2^x`
`=>\underbrace{1/2. 1/2. 1/2. 1/2..............1/2}_{\text{30 số 2}}. 1/64=2^x`
`=>(1/2)^{30}.(1/2)^{6}=2^x`
`=>(1/2)^{36}=2^x`
`=>2^{-36}=2^x`
`=>x=-36`
Vậy `x=-36`
\(\Rightarrow2^x+16=64\\ \Rightarrow2^x=48\Rightarrow x\in\varnothing\)
1/4 . 2/6 . 3/8 . ... .30/62 .31/64 = 2^x
(1/2 . 1/2).(2/3 . 1/2).(3/4 . 1/2). ... .(30/31 . 1/2).(31/32 . 1/2) = 2^x
(1/2.1/2. ... .1/2).(1/2 . 2/3 . 3/4. ... .30/31 . 31/32) = 2^x
(31 số 1/2)
(1/2)^31. = 2^x
=> 0=x+36
x=0-36
x=-36
Vậy x=-36
Theo mk nghĩ,mk làm đúng nha .Tk cho mk
Để mk sửa phần này một chút
\((\frac{1}{2})^{31}\cdot\frac{1\cdot2\cdot3.....30\cdot31}{2\cdot3\cdot4.....31\cdot32}=2^x\)
\(\frac{1^{31}}{2^{31}}\cdot\frac{1}{32}=2^x\)
\(\frac{1}{2^{31}}\cdot\frac{1}{2^5}=2^x\)
\(\frac{1}{2^{36}}=2^x\)
\(1=2^x\cdot2^{36}\)
\(2^0=2^x+36\)
Rồi bn tự suy luận nha
a) \(14:\frac{0,4x+0,6}{x}=7\)
\(\frac{0,4x+0,6}{x}=2\)
0,4x + 0,6 = 2.x
2x - 0,4x = 0,6
1,6x = 0,6
x = 0,375
b) \(\left(160\%+\frac{2}{3}x-x\right).12=660\)
\(\left(160\%+\frac{2}{3}x-x\right)=55\)
\(x\left(\frac{2}{3}-1\right)=53,4\)
\(-\frac{1}{3}x=\frac{267}{5}\)
\(x=\frac{267}{5}.\frac{3}{-1}\)
\(x=-160,2\)
c) \(1:\frac{1.2.3.4.....31}{2.2.2.3.2.4.....2.32}=2^x\)
\(1:\frac{1.2.3.4.....31}{2^{31}.2.3.4.....31.2^5}=2^x\)
\(1:\frac{1}{2^{36}}=2^x\)
\(2^{36}=2^x\)
\(x=36\)
10+2*x=4^2
10+2*x=16
2*x=16-10
2*x=6
x=6:2
x=3
24+2*x=64
2*x=64-24
2*x=40
x=40:2
x=20
10 + 2 *x =4^2
10 + 2 *x = 16
2 *x = 16 - 10
2 *x = 6
x= 6 : 2
x = 3
24+2 * x = 64
2 * x = 64 - 24
2 * x = 40
x = 40 : 2
x = 20