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2346 : (25 + x) = 23
=> 25 + x = 2346 : 23 = 102
=> x = 102 - 25 = 77
Vậy x = 77
2(x-3) + 5(x+4) = 49
=> 2x - 6 + 5x + 20 = 49
=> 7x + (20 - 6) = 49
=> 7x + 14 = 49
=> 7x = 49 - 14 = 35
=> x = 35 : 7 = 5
Vậy x = 5
(2x-10)3 . 251007 = \(5^2.5^{2015}\)
\(\left(2x-10\right)^3.5^{2014}=5^{2014}.5^3\)
\(\left(2x-10\right)^3=5^3\)
2x - 10 = 5
=> 2x = 5 + 10 = 15
=> x = 15 2 = 7,5
Vậy x = 7,5
1. a. 2346:(25+x)=23
=> 25+x=2346:23
=> 25+x=102
=> x=102-25
=> x=77
b. 2(x-3)+5(x+4)=49
=> 2x-6+5x+20=49
=> 7x+14=49
=> 7x=49-14
=> 7x=35
=> x=35:7
=> x=5
c. (2x-10)3.251007=52.52015
=> (2x-10)3.(52)1007=52017
=> (2x-10)3.52014=52017
=> (2x-10)3=52017:52014
=> (2x-10)3=53
=> 2x-10=5
=> 2x=5+10
=> 2x=15
=> x=15:2
=> x=7,5
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
125x . 5x+1 = 6252 . 5
125x . 5x . 5 = ( 54 )2 . 5
625x . 5 = 59
625x = 59 : 5
625x = 58
54x = 58
4x = 8
x = 2
49x+1 . 73 = 3432 . 49
( 72 )x+1 . 73 = ( 73 )2 . 72
72x+5 = 78
2x + 5 = 8
2x = 3
x = 3/2
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
\(a,2x^5+2=4\)=> \(2x^5=2\)=> \(x^5=1\)=> 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