2^x.3^x = 216

=> (2.3)^x = 216

=> 6^x = 216

=> 6^x = 6³

=> x = 3

Vậy x = 3

2^x.3^x=216

=> ( 2. 3 )^x = 216

=> 6^x = 216

=> x = 3

Vậy x = 3

\(2^x.3^x=216\)

\(\left(2.3\right)^x=216\)

\(6^x=216\)

\(6^x=6^3\)

\(\Rightarrow x=3\)

bạn ghi sai đề thì phải

đề có sai ko thế em 

hình như sai đề

ai nhanh nhất mình chọn cho .mình đang gấp lắm

a.1075+x-216=2486

1075+x=2486+216

1075+x=2702

x=2702-1075

x=1627

b.x+1950:5=1102

x+1950=1102*3

x+1975=3306

x=3306-1975

x=1331

a) 1075 + X-216=2486

                X - 216=2486-1075

                X -216=1411

                X         =1411 +216

                X          = 1627

  Vậy X = 1627

b) X + 1950 : 3 =1102

  X + 650   = 1102 

 X               = 1102 - 650

X                =452

            Vậy x = 452

Tk mk nha bn !!!

a)1075+X-216=2486

             X-216=2486-1075

             X-216=1411

             X       =1411+216

             X       =1627

b)X+1950:3=1102

   X+ 650    =1102

   X              =1102-650

   X              =452

d) \(\left(7-2x\right)^2=49\)

\(\Rightarrow\left(7-2x\right)^2=\left(\pm7\right)^2\)

\(\Rightarrow\left[{}\begin{matrix}7-2x=7\\7-2x=-7\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}2x=7-7\\2x=7+7\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}2x=0\\2x=14\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=7\end{matrix}\right.\)

e) \(\left(9-x\right)^3=216\)

\(\Rightarrow\left(9-x\right)^3=6^3\)

\(\Rightarrow9-x=6\)

\(\Rightarrow x=9-6\)

\(\Rightarrow x=3\)

g) \(6^{x+2}+6^x=1332\)

\(\Rightarrow6^x\cdot\left(6^2+1\right)=1332\)

\(\Rightarrow6^x\cdot37=1332\)

\(\Rightarrow6^x=1332:37\)

\(\Rightarrow6^x=36\)

\(\Rightarrow6^x=6^2\)

\(\Rightarrow x=2\)

\(d,\left(7-2x\right)^2=49\)

\(\Leftrightarrow\left[{}\begin{matrix}7-2x=7\\7-2x=-7\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}2x=0\\2x=14\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=7\end{matrix}\right.\)

\(e,\left(9-x\right)^3=216\)

\(\Leftrightarrow\left(9-x\right)^3=6^3\)

\(\Leftrightarrow9-x=6\)

\(\Leftrightarrow x=3\)

\(f,6^{x+2}+6^x=1332\)

\(\Leftrightarrow6^x\left(6^2+1\right)=1332\)

\(\Leftrightarrow6^x\cdot37=1332\)

\(\Leftrightarrow6^x=36\)

\(\Leftrightarrow6^x=6^2\)

\(\Leftrightarrow x=2\)

#Urushi

\(\left(7-2x\right)^2=49=7^2=\left(-7\right)^2\\ \Rightarrow\left[{}\begin{matrix}7-2x=7\\7-2x=-7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=0\\2x=14\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=7\end{matrix}\right.\)

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\(\left(9-x\right)^3=216=6^3\\ \Rightarrow9-x=6\Leftrightarrow x=3\\ Vậy:x=3\)

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\(6^{x+2}+6^x=1332\\ \Leftrightarrow6^x\left(6^2+1\right)=1332\\ \Leftrightarrow6^x.37=1332\\ \Leftrightarrow6^x=\dfrac{1332}{37}=36=6^2\\ Vậy:x=2\)

c)
\(x^3-3.x^2.6+3.x.6^2-6^3=0\)
\(\left(x-6\right)^3=0\)
x-6=0
x=6
d)
\(x^3-3.x^2.1+3.x.1^2-1-x^3-3x-2=0\)
\(x^3-3x^2+3x-1-x^3-3x^2-2=0\)
\(-6x^2-3=0\)
\(-3\left(2x^2+1\right)=0\)
\(2x^2+1=0\)
2x²=-1
x²=1/2
x=\(\dfrac{\sqrt{2}}{2}\)