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14 + (273 - 7x) . 2 = 518
(273 - 7x) . 2 = 504
273 - 7x = 252
7x = 21
x = 3
Vậy...........
a) (3x +5)3 =121.(-11)
(3x +5)3 = -113
3x + 5 = -11
3x = -11 - 5
x = \(-\frac{16}{3}\)
b) 3.|2x +1| - 10= |-11|
3.|2x+1| = 11 + 10
|2x+1| = 7
\(\Rightarrow\orbr{\begin{cases}2x+1=7\\2x+1=-7\end{cases}\Rightarrow\orbr{\begin{cases}x=3\\x=-4\end{cases}}}\)
c) 100-(x -5)2 = (-6)2
(x-5)2 = 82
x-5 = 8
x = 13
\(\left(3x+5\right)^3=121\left(-11\right)\)
\(\Rightarrow\left(3x+5\right)^3=-1331=\left(-11\right)^3\)
\(\Rightarrow3x+5=-11\)
\(\Rightarrow3x=-16\)
\(\Rightarrow x=-\frac{16}{3}\)
\(3\left|2x+1\right|-10=\left|-11\right|\)
\(\Rightarrow\left|2x+1\right|=7\)
\(\Leftrightarrow\orbr{\begin{cases}2x+1=7\\2x+1=-7\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
\(100-\left(x-5\right)^2=\left(-6\right)^2\)
\(\Rightarrow\left(x-5\right)^2=64=\left(\pm8\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=8\\x-5=-8\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=13\\x=-3\end{cases}}\)
a.23x +1=128
= 23x x 2=128
=128:2=64=2 mũ 6
vậy x=2
b.(7x-11)3=25+52+200
(7x-11)3=257=6,3579 mũ 3
7x=17,3579
x=2,4797
c.(2x+1)+(2x+2)+(2x+3)+...+(2x+101)=5757
vế trái có 101 số hạng
VT =(2x +1+2x+101).101:2=(4x+102).101:2=5757
(4x+102).101 =5757.2=11514
(4x+102)=11514:101=114
4x=114-102=12
x=12:4=3
vậy x=3
a; -2\(x\) - 3.(\(x-17\)) = 34 - 2.( - \(x\) + 25)
- 2\(x\) - 3\(x\) + 51 = 34 + 2\(x\) - 50
2\(x\) + 2\(x\) + 3\(x\) = - 34 + 50 + 51
7\(x\) = 67
\(x\) = 67 : 7
\(x\) = \(\dfrac{67}{7}\)
Vậy \(x\) = \(\dfrac{67}{7}\)
b; 17\(x\) + 3.(- 16\(x\) - 37) = 2\(x\) + 43 - 4\(x\)
17\(x\) - 48\(x\) - 111 = 2\(x\) - 4\(x\) + 43
- 31\(x\) - 2\(x\) + 4\(x\) = 111 + 43
- \(x\) x (31 + 2 - 4) = 154
- \(x\) x (33 - 4) = 154
- \(x\) x 29 = 154
- \(x\) = 154 : (-29)
\(x\) = - \(\dfrac{154}{29}\)
Vậy \(x=-\dfrac{154}{29}\)
\(5^{2x+1}\cdot5^{2x+2}-5^x\cdot5^{3x+2}=100\)
\(\Leftrightarrow5^{4x+3}-5^{4x+2}=100\)
\(\Leftrightarrow625^x\left(5^3-5^2\right)=100\)
\(\Leftrightarrow625^x=1\)
hay x=0
\(\Rightarrow5^{2x+1+2x+2}-5^{x+3x+2}=100\\ \Rightarrow5^{4x+3}-5^{4x+2}=100\\ \Rightarrow5^{4x+2}\left(5-1\right)=100\\ \Rightarrow5^{4x+2}=25=5^2\\ \Rightarrow4x+2=2\Rightarrow x=0\)