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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(4^{x+3}-3.4^{x+1}=13.4^{11}\)
\(16.4^{x+1}-3.4^{x+1}=13.4^{11}\)
\(\left(16-3\right).4^{x+1}=13.4^{11}\)
\(13.4^{x+1}=13.4^{11}\)
\(\Rightarrow x+1=11\)
\(x=10\)
\(4^{x+3}-3.4^{x+1}=13.4^{11}\)
=> \(4^{x+1}.\left(4^2-3\right)=13.4^{11}\)
=> \(4^{x+1}.\left(16-3\right)=13.4^{11}\)
=> \(4^{x+1}.13=13.4^{11}\)
=> \(x+1=11\)
=> \(x=11-1=10\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{x}{2}=\frac{y}{3}\Rightarrow\frac{x}{14}=\frac{y}{21}\)
\(\frac{y}{7}=\frac{z}{4}\Rightarrow\frac{y}{21}=\frac{z}{12}\)
\(\Leftrightarrow\frac{x}{14}=\frac{y}{21}=\frac{z}{12}=\frac{x+y-z}{14+21-12}=\frac{69}{23}=3\)
\(\Rightarrow x=52;y=63;z=36\)
\(\hept{\begin{cases}\frac{x}{2}=\frac{y}{3}\\\frac{y}{7}=\frac{z}{4}\end{cases}\Rightarrow\hept{\begin{cases}\frac{x}{14}=\frac{y}{21}\\\frac{y}{21}=\frac{z}{12}\end{cases}\Rightarrow}\frac{x}{14}=\frac{y}{21}=\frac{z}{12}}\)
Áp dụng tính chất dãy tỉ số bằng nhau:
\(\frac{x}{14}=\frac{y}{21}=\frac{z}{12}=\frac{x+y-z}{14+21-12}=\frac{69}{23}=3\)
\(\Rightarrow\hept{\begin{cases}x=3.14=42\\y=3.21=63\\z=3.12=36\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
(x - 2/3)3 = -1/27
=> (x - 2/3)3 = (-1/3)3
=> x - 2/3 = -1/3
=> x = -1/3 + 2/3
=> x = 1/3
Từ bài ra ta có \(\left(x-\frac{2}{3}\right)^3=\left(\frac{-1}{3}\right)^3\)
\(\Rightarrow x-\frac{2}{3}=\frac{-1}{3}\)
\(\Rightarrow x=\frac{-1}{3}+\frac{2}{3}\)
\(\Rightarrow x=\frac{1}{3}\)
Vậy ... nếu đúng thì k nha
![](https://rs.olm.vn/images/avt/0.png?1311)
\(5^{x+4}-3.5^{x+3}=2.5^{11}\)
\(5^{x+3}.5-3.5^{x+3}=2.5^{11}\)
\(5^{x+3}.\left(5-3\right)-2.5^{11}=0\)
\(5^{x+3}.2-2.5^{11}=0\)
\(2\left(5^{x+3}-5^{11}\right)=0\)
\(\Rightarrow5^{x+3}-5^{11}=0\)
\(\Rightarrow5^{x+3}=5^{11}\)
\(\Rightarrow x+3=11\)
\(\Rightarrow x=8\)
vậy \(x=8\)
sai đề rồi bạn oi 5x+4-3.5x+3=0 mà sao mà bằng 2.511được
![](https://rs.olm.vn/images/avt/0.png?1311)
Lời giải:
1.
$3^{x+2}+4.3^{x+1}=7.3^6$
$3^{x+1}.3+4.3^{x+1}=7.3^6$
$3^{x+1}(3+4)=7.3^6$
$3^{x+1}.7=7.3^6$
$\Rightarrow 3^{x+1}=3^6$
$\Rightarrow x+1=6$
$\Rightarrow x=5$
2.
$5^{x+4}-3.5^{x+3}=2.5^{11}$
$5^{x+3}.5-3.5^{x+3}=2.5^{11}$
$5^{x+3}(5-3)=2.5^{11}$
$2.5^{x+3}=2.5^{11}$
$\Rightarrow 5^{x+3}=5^{11}$
$\Rightarrow x+3=11$
$\Rightarrow x=8$
3.
$4^{x+3}-3.4^{x+1}=13.4^{11}$
$4^{x+1}.4^2-3.4^{x+1}=13.4^{11}$
$4^{x+1}.16-3.4^{x+1}=13.4^{11}$
$13.4^{x+1}=13.4^{11}$
$\Rightarrow 4^{x+1}=4^{11}$
$\Rightarrow x+1=11$
$\Rightarrow x=10$
![](https://rs.olm.vn/images/avt/0.png?1311)
2.3x+2+4.3x+1=10.36
2.3.3x+1+4.3x+1=10.36
6.3x+1+4.3x+1=10.36
10.3x+1=10.36
=>3x+1=36
=>x+1=6 =>x=5
Ai thấy đúng cho mình nha!
\(2.3^{x+2}+4.3^{x+1}=10.3^6\)
\(2.3^{x+2}+2^2.3^{x+1}=2.5.3^6\)
\(2.3^{x+1}\left(3+2\right)=2.5.3^6\)
\(2.3^{x+1}.5=2.5.3^6\)
\(\Rightarrow x+1=6\Rightarrow x=5\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(5^{x+4}-3.5^{x+3}=2.5^{11}\)
\(\Rightarrow5^x.5^4-3.5^x.5^3=2.5^{11}\)
\(\Rightarrow5^x.5^3\left(5-3\right)=2.5^{11}\)
\(\Rightarrow5^x.2=2.5^8\)
\(\Rightarrow5^x=5^8\)
\(\Rightarrow x=8\)
Vậy \(x=8\)
=>5x+3(5-3)=2.511
=>5x+3=511
=>x+3=11
=>x=8
\(5^{x+4}-3.5^{x+3}=2.5^{11}\)
\(\Rightarrow5^{x+3}\left(5-3\right)=2.5^{11}\)
\(\Rightarrow5^{x+3}=5^{11}\)
\(\Rightarrow x+3=11\)
\(\Rightarrow x=8\)