e)2-2.2x+2.2x=9.26 f)3-22.34.3x=37
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Đề là: \(2sin^22x-3cos2x+6sin^2x-9=0\) đúng không nhỉ?
\(\Leftrightarrow2\left(1-cos^22x\right)-3cos2x+3\left(1-cos2x\right)-9=0\)
\(\Leftrightarrow-2cos^22x-6cos2x-4=0\)
\(\Leftrightarrow cos^22x+3cos2x+2=0\)
\(\Leftrightarrow\left[{}\begin{matrix}cos2x=-1\\cos2x=-2\left(loại\right)\end{matrix}\right.\)
\(\Rightarrow...\)




a: =>3x-2x=-11-9
=>x=-20
c: \(\Leftrightarrow\left(2x+3\right)\left(x^2+3\right)=2\left(2x+3\right)\)
=>2x+3=0
hay x=-3/2

a: 3x+9=2x-11
=>3x-2x=-11-9
=>x=-20
b: \(\dfrac{2x-3}{5}-2=\dfrac{2-x}{4}\)
=>4(2x-3)-20=5(2-x)
=>8x-12-20=10-5x
=>8x-32=10-5x
=>13x=42
hay x=42/13

1/2.2x+4.2x=9.2x
2x.(1/2+4)=9.2x
2x.9/2=9.2x
2x:2x=9:9/2
x=2
vậy x=2

\(a,\Rightarrow\left[{}\begin{matrix}x-\dfrac{2}{3}=\dfrac{5}{4}\\\dfrac{2}{3}-x=\dfrac{5}{4}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{23}{12}\\x=-\dfrac{7}{12}\end{matrix}\right.\\ b,\Rightarrow0,1x\cdot1,35=0,2\cdot1,25=0,25\\ \Rightarrow0,135x=0,25\Rightarrow x=\dfrac{50}{27}\\ c,ĐK:x\ge0\\ PT\Leftrightarrow-2\sqrt{x}=-6\Leftrightarrow x=9\left(tm\right)\\ d,\Leftrightarrow3^{x+2}\cdot2^{x-1}=\left(3^2\cdot2^2\right)^3=3^6\cdot2^6\\ \Leftrightarrow\left\{{}\begin{matrix}x+2=6\\x-1=6\end{matrix}\right.\Leftrightarrow x\in\varnothing\)
e; 2\(^{-2}\).2\(^{x}\) + 2.2\(^{x}\) = 9.2\(^6\)
2\(^{x}\).(\(\frac14\) + 2) = 9.64
2\(^{x}\).(\(\frac14+\frac84\)) = \(576\)
2\(^{x}\).\(\frac94\) = 576
2\(^{x}\) = 576 : \(\frac94\)
2\(^{x}\) = 256
2\(^{x}\) = 2\(^8\)
\(x=8\)
Vậy \(x=8\)
e: \(2^{-2}\cdot2^{x}+2\cdot2^{x}=9\cdot2^6\)
=>\(2^{x}\left(2+2^{-2}\right)=9\cdot2^6\)
=>\(2^{x}\left(2+\frac14\right)=9\cdot2^6\)
=>\(2^{x}\cdot\frac94=\frac94\cdot2^8\)
=>\(2^{x}=2^8\)
=>x=8
f: \(3^{-22}\cdot3^4\cdot3^{x}=3^7\)
=>\(3^{x+4-22}=3^7\)
=>x-18=7
=>x=18+7=25