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3.|x+1|-2=4
3.|x+1|=4+2
3.|x+1|=6
|x+1|=6:3
|x+1|=2
Trường hợp 1 x+1=2
x=2-1
x=1
trường hợp 2
x+1=-2
x=(-2)-1
x=-3
==> x thuộc {1; -3}
k mk nha chúc học tốt
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Đề bài: Tìm x
\(3.2^{x+1}+\frac{1}{2}=\frac{49}{2}\)
\(3.2^{x+1}=\frac{49}{2}-\frac{1}{2}\)
\(3.2^{x+1}=24\)
\(2^{x+1}=24\div3\)
\(2^{x+1}=8\)
\(2^{x+1}=2^3\)
\(\Rightarrow x+1=3\)
\(x=2\)
Vậy \(x=2.\)
\(3.2^{2x+1}+\frac{1}{2}=\frac{49}{2}\)
\(\Leftrightarrow3.2^{2x+1}=\frac{48}{2}\)
\(\Leftrightarrow2^{2x+1}=8\)
\(\Leftrightarrow2^{2x+1}=2^3\)
\(\Rightarrow2x+1=3\)
\(\Rightarrow x=1\)
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\(2x^2-1=49\)
\(2x^2=49+1\)
\(2x^2=50\)
\(x^2=50:2\)
\(x^2=25\)
\(\Rightarrow\orbr{\begin{cases}x=5\\x=-5\end{cases}}\)
\(2x^2-1=49\)
\(\Leftrightarrow2x^2=50\)
\(\Leftrightarrow x^2=50:2\)
\(\Leftrightarrow x^2=25\)
\(\Leftrightarrow x=\sqrt{25}\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
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a. => \(2^{6+x}=2^{10}\)
=> 6+x=10
=> x=10-6
Vậy x=4.
b. => \(7^{3x-1}:7^2=7^6\)
=> 73x-1-2=76
=> 73x-3=76
=> 3x-3=6
=> 3x=6+3
=> 3x=9
Vậy x=3.
c. =>\(7^{5x-1}-25=24\)
=>75x-1=24+25
=>75x-1=49
=>75x-1=72
=>5x-1=2
=>5x=3
Vậy x=\(\frac{3}{5}\).
d. => \(10^{x-3}=10^0\)
=>x-3=0
Vậy x=3.
e. => 2x=10
=> x=10:2
Vậy x=5.
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\(a,2x^5+2=4\)=> \(2x^5=2\)=> \(x^5=1\)=> x = 1
\(b,(x-2)^2=144\)
=> \((x-2)^2=12^2\)
=> \(x-2=\pm12\)
=> \(\orbr{\begin{cases}x-2=12\\x-2=-12\end{cases}}\)=> \(\orbr{\begin{cases}x=14\\x=-10\end{cases}}\)
\(c,(2x+1)^2=49\)
=>\((2x+1)^2=7^2\)
=> \(2x+1=\pm7\)
=> \(\orbr{\begin{cases}2x+1=7\\2x+1=-7\end{cases}}\)=> \(\orbr{\begin{cases}2x=6\\2x=-8\end{cases}}\)=> \(\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
e, Tương tự
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a) \(5^4:\left(2x-1\right)^2=25\\ \Leftrightarrow5^4:\left(2x-1\right)^2=5^2\\ \Leftrightarrow5^4:5^2=\left(2x-1\right)^2\\ \Leftrightarrow\left[{}\begin{matrix}\left(2x-1\right)^2=5^2\\\left(2x-1\right)^2=\left(-5\right)^2\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}2x-1=5\\2x-1=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-2\end{matrix}\right.\)
b) \(17^3.x=17^4\\ \Rightarrow x=17^4:17^3=17\)
c) \(\left(2x+1\right)^3:49=7\\ \Leftrightarrow\left(2x-1\right)^3:7^2=7\\ \Leftrightarrow\left(2x-1\right)^3=7.7^2=7^3\\ \Leftrightarrow2x-1=7\\ \Leftrightarrow x=4\)
a)54 : (2x - 1)2 =25
54 : (2x - 1)2 =52
(2x - 1)2 =54 : 52
(2x - 1)2 = 52
2x - 1 = 5
2x = 5+1
2x = 6
x = 6: 2
x = 3
b)173.x = 174
x = 174 : 173
x = 17
c)(2x + 1)3 : 49 =7
(2x + 1)3 = 7 . 49
(2x + 1)3 = 343
(2x + 1)3 = 73
2x +1 = 7
2x = 7- 1
2x = 6
x = 6:2
x = 3
2x2 - 1 = 49
2x2 = 49 + 1
2x2 = 50
x2 = 50 :2
x2 = 25
x2 = 52
x = 5
-5 bình lên cũng = 25 bạn ạ