Tìm x
(2. X + 1)3 = 27
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\(a,\\ \left(x+\dfrac{1}{2}\right)^3=\dfrac{8}{125}=\dfrac{2^3}{5^3}\\ \left(x+\dfrac{1}{2}\right)^3=\left(\dfrac{2}{5}\right)^3\\ \Rightarrow\left(x+\dfrac{1}{2}\right)=\dfrac{2}{5}\\ x=\dfrac{2}{5}-\dfrac{1}{2}\\ x=-\dfrac{1}{10}\)
\(b,3\left|x\right|-27=\dfrac{1}{5}\\ 3\left|x\right|=\dfrac{1}{5}+27\\ 3\left|x\right|=\dfrac{136}{5}\\ \left|x\right|=\dfrac{136}{5}:3\\ \left|x\right|=\dfrac{136}{15}\\ Vậy:x=\dfrac{136}{15}.or.x=-\dfrac{136}{15}\)
Ta có: \(4\left(x+3\right)\left(3x-2\right)-3\left(x-1\right)\left(4x-1\right)=-27\)
\(\Leftrightarrow4\left(3x^2+7x-6\right)-3\left(4x^2-5x+1\right)=-27\)
\(\Leftrightarrow12x^2+28x-24-12x^2+15x-3=-27\)
\(\Leftrightarrow43x=-27+24+3=0\)
hay x=0
a)\(4\left(x+3\right)\left(3x-2\right)-3\left(x-1\right)\left(4x-1\right)=-27\)
\(\Leftrightarrow12x^2+28x-24-12x^2+15x-3=-27\)
\(\Leftrightarrow43x=0\\ \Leftrightarrow x=0\)
a) 4(x + 3)(3x - 2) - 3(x - 1)(4x - 1) = -27
<=> 4(3x2 + 7x - 6) - 3(4x2 - 5x + 1) = -27
<=> 12x2 + 28x - 24 - 12x2 + 15x - 3 = -27
<=> 43x = 0 <=> x = 0
Vậy nghiệm là x = 0
b) Đề không rõ, mình sửa lại đề nha:
4x(2x2 - 1) + 27 = (4x2 + 6x + 9)(2x + 3)
<=> 8x3 - 4x + 27 = 8x3 + 24x2 + 36x + 27
<=> 24x2 + 40x = 0 <=> x = 0 hay x = -5/3
Vậy nghiệm là x = 0 hay x = -5/3
a) 3^x=27
3x=33
x=3
b.2^x:2^3=1
2x:8=1
2x=1x8
2x=8
2x=23
x=3
c.27<3^x<243
33=27(loại)
34=81 (lấy)
35=243(loại)
vậy x=4
d.4^x-^3=36
`#3107.101107`
a)
\(27< 3^x< 243\\ \Rightarrow3^3< 3^x< 3^5\\ \Rightarrow3< x< 5\\ \Rightarrow x=4\)
Vậy, `x = 4`
b)
\(2^x+2^{x+1}+2^{x+2}=56?\\ \Rightarrow2^x+2^x\cdot2+2^x\cdot4=56\\ \Rightarrow2^x\cdot\left(1+2+4\right)=56\\ \Rightarrow2^x\cdot7=56\\ \Rightarrow2^x=8\\ \Rightarrow2^x=2^3\\ \Rightarrow x=3\)
Vậy, `x = 3`
c)
\(3^x+3^{x+2}=810\\ \Rightarrow3^x+3^x\cdot9=810\\ \Rightarrow3^x\cdot\left(1+9\right)=810\\ \Rightarrow3^x\cdot10=810\\ \Rightarrow3^x=81\\ \Rightarrow3^x=3^4\\ \Rightarrow x=4\)
Vậy, `x = 4.`
a) \(27< 3^x< 243\)
\(\Rightarrow3^3< 3^x< 3^5\)
\(\Rightarrow3< x< 5\)
c) \(3^x+3^{x+2}=810\)
\(\Rightarrow3^x\left(1+3^2\right)=810\)
\(\Rightarrow3^x.10=810\)
\(\Rightarrow3^x=810:10\)
\(\Rightarrow3^x=81\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
(2. X + 1)3 = 27
suy ra (2. X + 1) = 3
suy ra 2.x = 2
suy ra x =1