4^x+3+4x=1040
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4x + 3 + 4x = 1040
4x . 43 + 4x . 1 = 1040
4x ( 43 + 1 ) = 1040
4x . 65 = 1040
4x = 1040 : 65 = 16 = 42
Vậy x = 2
\(4^{x+3}+4^x=1040\)
\(\Leftrightarrow4^x\left(1+4^3\right)=1040\)
\(\Leftrightarrow4^x.65=1040\)
\(\Leftrightarrow4^x=16\)
\(\Leftrightarrow x=2\)


1) (4x−7)2−5×|7−4x|=0
Có (4x-7)2 \(\ge0\) với mọi x
|7−4x| \(\ge0\) với mọi x
<=> 5|7−4x| \(\ge0\) với mọi x
Để (4x−7)2−5×|7−4x|=0 thì \(\left\{{}\begin{matrix}\left(4x-7\right)^2=0\\5|7-4x|=0\end{matrix}\right.\)<=>\(\left\{{}\begin{matrix}4x-7=0\\7-4x=0\end{matrix}\right.\)<=>\(\left\{{}\begin{matrix}4x=7\\4x=7\end{matrix}\right.\)<=>\(x=\dfrac{7}{4}\)
Vậy \(x=\dfrac{7}{4}\)
2) \(4^{x-2}+4^{x+1}=1040\)
<=> \(4^{x+1}.4^{-3}+4^{x+1}=1040\)
<=> \(4^{x+1}\left(4^{-3}+1\right)=1040\)
<=> \(4^{x+1}.\dfrac{65}{64}=1040\)
<=> \(4^{x+1}=1024=4^5\)
=> x+1=5 <=> x=4
Vậy x=4

\(4^x+4^{x+3}=1040\)
\(4^x.1+4^x.4^3=1040\)
\(4^x.\left(1+4^3\right)=1040\)
\(4^x.65=1040\)
\(4^x=1040:65\)
\(4^x=16\)
\(4^x=4^2\)
\(\Rightarrow x=2\)
Vậy \(x=2\)

4x + 43 + 4x= 1040
4x . ( 43 + 1 ) = 1040
4x . 65 = 1040
4x = 1040 : 65
4x = 16
4 x = 42
suy ra x = 2
vậy x = 2

\(\Leftrightarrow4^x\cdot\dfrac{1}{16}+4^x\cdot4=1040\)
\(\Leftrightarrow4^x\cdot\dfrac{65}{16}=1040\)
\(\Leftrightarrow4^x=256\)
hay x=4

ta có : \(4^{x-2}+4^{x+1}=1040\Leftrightarrow4^{x-2}\left(1+4^3\right)=1040\)
\(\Leftrightarrow4^{x-2}=\dfrac{1040}{1+4^3}=16=4^2\) \(\Rightarrow x-2=2\Leftrightarrow x=4\) vậy \(x=4\)
chu thị linh chi : bn rút \(4^{x-2}\) ra là có . bn xem cho kỉ nha

\(4^{x-2}+4^{x+1}=1040\)
\(\Rightarrow4^{x-2}+4^{x-2}.4^3\)
\(\Rightarrow4^{x-2}.\left(1+4^3\right)=1040\)
\(\Rightarrow4^{x-2}.65=1040\)
\(\Rightarrow4^{x-2}=16\)
\(\Rightarrow4^{x-2}=4^2\)
\(\Rightarrow x-2=2\)
\(\Rightarrow x=4\)

4x:42+4x.4=1040
=4x.1/16+4x.4=1040
=4x.(1/6+4)=1040
=4x.65/16=1040
=>4x=1040:65/16
=>4x=256
=>4x=44
vậy x =4
4x-2 + 4x+1 = 1040
=> 4x-2 + 4x-2 . 43 = 1040
=> 4x-2 . ( 1 + 43 ) = 1040
=> 4x-2 . 65 = 1040
=> 4x-2 = 16
=> 4x-2 = 42
=> x - 2 = 2
=> x = 4
Vậy x = 4

4x-2 +4x+1 =1040
4x:42+4x.4 =1040
4x:2+4x.4 =1040
4x.1/2+4x.4=1040
4x.(1/2+4) =1040
4x.9/2 =1040
4x =1040:9/2
4x =2080/9
\(4^{x+3}+4^{x}=1040\)
\(4^{x}.4^3+4^{x}=1040\)
\(4^{x}.\left(4^3+1\right)=1040\)
\(4^{x}.\left(64+1\right)=1040\)
\(4^{x}.65=1040\)
\(4^{x}=1040:65\)
\(4^{x}=16\)
\(4^{x}=4^2\)
\(x=2\)
\(Vậy\) \(x\) \(=\) \(2\)