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a: =>4x-15-2x+3=36
=>2x-12=36
=>2x=48
hay x=24
b: =>2x-x=5+4
hay x=9
\(\left[\left(2x-4\right)+9\right]^3=3^6\)
\(\Leftrightarrow2x-4=0\)
hay x=2
3) \(...\Rightarrow2^x\left(2^3+1\right)=36\)
\(\Rightarrow2^x.9=36\)
\(\Rightarrow2^x=4\)
\(\Rightarrow2^x=2^2\Rightarrow x=2\)
4) \(...\Rightarrow4^{x+1}-4^x=12\)
\(\Rightarrow4^x\left(4-1\right)=12\)
\(\Rightarrow4^x.3=12\)
\(\Rightarrow4^x=4=4^1\Rightarrow x=1\)
5) \(...\Rightarrow5^{x+1}\left(5^2-1\right)=3000\)
\(\Rightarrow5^{x+1}.24=3000\)
\(\Rightarrow5^{x+1}=125\)
\(\Rightarrow5^{x+1}=5^3\)
\(\Rightarrow x+1=3\)
\(\Rightarrow x=2\)
6) Bạn xem lại đề
a. \(2^x.2^3+2^x=36\)
\(2^x\left(2^3+1\right)=36\)
\(2^x.9=36\)
\(2^x=4\Rightarrow x=2\)
b. \(4^x.4^1-\left(2^2\right)^x=12\)
\(4^x.4-4^x=12\)
\(4^x\left(4-1\right)=12\)
\(4^x.3=12\)
\(4^x=4\)
x = 1
c. \(5^x.5^3-5^x.5^1=3000\)
\(5^x\left(5^3-5^1\right)=3000\)
\(5^x.120=3000\)
\(5^x=25\)
x = 2
d. \(4^{x+1}=2^{2x}\)
\(4^x.4=\left(2^2\right)^x\)
\(4^x.4=4^x\)
Có vẻ như câu 4 này để bài thiếu
4/2x+3/ = 36
/2x+3/ = 36 : 4
/2x+3/ = 9
\(\Rightarrow\left[{}\begin{matrix}2x+3=9\\2x+3=-9\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=9-3\\2x=\left(-9\right)-3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=6\\2x=-12\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=6:2\\x=\left(-12\right):2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=3\\x=-6\end{matrix}\right.\)
Vậy x \(\in\) { 3;-6 }
4/2x+3/ = 36
/2x+3/ = 36 : 4
/2x+3/ = 9
⇒[2x+3=92x+3=−9⇒[2x+3=92x+3=−9
⇒[2x=9−32x=(−9)−3⇒[2x=9−32x=(−9)−3
⇒[2x=62x=−12⇒[2x=62x=−12
⇒[x=6:2x=(−12):2⇒[x=6:2x=(−12):2
⇒[x=3x=−6⇒[x=3x=−6
Vậy x ∈∈ { 3;-6 }
\(\left(2x+1\right)^3=125\\ \Rightarrow\left(2x+1\right)^3=5^3\\ \Rightarrow2x+1=5\\ \Rightarrow2x=4\\ \Rightarrow x=2.\\ b,\left(2x-1\right)^4=16\\ \Rightarrow\left(2x-1\right)^4=2^4\\ \Rightarrow2x-1=2\\ \Rightarrow2x=3\\ \Rightarrow x=\dfrac{3}{2}.\\ c,6.3^x-2.3^x=36\\ \Rightarrow3^x.\left(6-2\right)=36\\ \Rightarrow3^x.4=36\\ \Rightarrow3^x=9\\ \Rightarrow3^x=3^2\\ \Rightarrow x=2.\\ d,2^{x+1}-2^x=32\\ \Rightarrow2^x.\left(2-1\right)=32\\ \Rightarrow2^x=2^5\\ \Rightarrow x=5.\)
Bài làm
( 2x - 1 )( 4 + 3 ) = - 36
=> 8x + 6x - 4 - 3 = -36
=> 14x - 7 = -36
=> 14x = -29
=> x = -29/14
Vậy x = -29/14
2x - 36 = 46 : 43
2x - 36 = 64
2x = 64 + 36
2x = 100
x = 100 : 2
x = 50
5x+ 11= 36
5x = 36 - 11
5x = 25
=> x = 2
k mik nha làm ơn
a)\(2x-36=4^6:4^3\Rightarrow2x-36=4^3\Rightarrow2x-36=64\Rightarrow2x=64+36\Rightarrow2x=100\Rightarrow x=50\)
b)\(5^x+11=36\Rightarrow5^x=36-11\Rightarrow5^x=25\Rightarrow x=2\)
2x+6x-12=36
8x=48
x=6
x = 6 nhé Nguyễn Diệp Anh