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a) \(18-\left(2x+5\right)=9\)
\(2x+5=18-9\)
\(2x+5=9\)
\(2x=9-5\)
\(2x=4\)
\(x=2\)
a) \(18-\left(2x+5\right)=9\)
\(\Rightarrow2x+5=18-9=9\)
\(\Rightarrow2x=9-5=4\Rightarrow x=4:2=2\)
b) \(23x-4=32\Rightarrow23x=32+4=36\Rightarrow x=\dfrac{36}{23}\)
c) \(\left(3x+2\right)^2=64\)
\(\Rightarrow\left[{}\begin{matrix}3x+2=8\\3x+2=-8\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=2\\x=-\dfrac{10}{3}\end{matrix}\right.\)
d) \(x\left(2x-12\right)=0\Rightarrow6x\left(x-2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)
\(X^2=49\\ Mà:7^2=49;\left(-7\right)^2=49\\ \Rightarrow X=7.hoặc.x=-7\\ ----\\ b,\left(5x+1\right)^2=121=11^2=\left(-11\right)^2\\ Nên:5x+1=11.hoặc.5x+1=-11\\ Nên:5x=10.hoặc.5x=-12\\ Vậy:x=2.hoặc.x=-\dfrac{12}{5}\\ ---\\ 3x+36=-7x-64\\ \Rightarrow3x+7x=-64-36\\ \Rightarrow10x=-100\\ \Rightarrow x=-\dfrac{100}{10}=-10\\ ---\\ -5x-1178=14x+145\\ \Rightarrow14x+5x=-1178-145\\ \Rightarrow19x=-1323\\ \Rightarrow x=\dfrac{-1323}{19}\)
a, 3 x - 2 3 = 2 . 32
3 x - 2 3 = 64
3 x - 2 3 = 4 3
3 x - 2 = 4 ⇔ x = 2
b, 5 x + 1 - 5 x = 500
5 x . 5 - 5 x = 500
5 x . ( 5 - 1 ) = 500
5 x . 4 = 500
5 x = 125 = 5 3
x = 3
a: =>12x-64=32
=>12x=96
=>x=8
b: =>x-1=5
=>x=6
c: =>2^x*3=96
=>2^x=32
=>x=5
a . 3 x = 9 ⇔ 3 x = 3 2 ⇔ x = 2
b . 5 x = 5 3 ⇔ x = 3
c . 3 x + 1 = 3 2 ⇔ x + 1 = 2 ⇔ x = 1
a) Ta có: 3 x = 3 2 nên x = 2.
b) Ta có: 5 x = 5 3 nên x = 3.
c) Ta có: 3 x + 1 = 3 2 nên x +1 = 2, do đó x = 1.
a) 2011 : { 639 : [ 316 – ( 78 + 25 )] : 3 }
= 2011 : { 639 : [ 316 – 103 ] : 3}
= 2011 : ( 639 : 213 : 3 ) = 2011 : (3 : 3 ) = 2011 : 1 = 2011
b) ( 3x – 2 3 ) . 7 = 7 4
3x – 8 = 7 4 : 7
3x – 8 = 7 3
3x – 8 = 343
3x = 343 + 8
3x = 351
x = 351 : 3 = 117
c) (8705 + 5235) – 5x = 3885
13940 – 5x = 3885
5x = 13940 – 3885
5x = 10055
x = 10055 : 5 = 2011
a) 2011 : { 639 : [ 316 – ( 78 + 25 )] : 3 }
= 2011 : { 639 : [ 316 – 103 ] : 3}
= 2011 : ( 639 : 213 : 3 ) = 2011 : (3 : 3 ) = 2011 : 1 = 2011
b) ( 3x – 23) . 7 = 74
3x – 8 = 74 : 7
3x – 8 = 73
3x – 8 = 343
3x = 343 + 8
3x = 351
x = 351 : 3 = 117
c) (8705 + 5235) – 5x = 3885
13940 – 5x = 3885
5x = 13940 – 3885
5x = 10055
x = 10055 : 5 = 2011
Trl:
a) \(2011:\left\{639:\left[316-\left(78+25\right)\right]:3\right\}\)
\(=2011:\left\{639:\left[316-103\right]:3\right\}\)
\(=2011:\left\{639:213:3\right\}\)
\(=2011:1\)
\(=2011\)
b) \(\left(3x-23\right).7=74\)
\(\Rightarrow3x-23=74:7\)
\(\Rightarrow3x-23=10,5\)
\(\Rightarrow3x=10,5+23\)
\(\Rightarrow3x=33,5\)
\(\Rightarrow x=33,5:3\)
\(\Rightarrow11,1\)( Câu này sai đề nha )
c) \(\left(8705+5235\right)-5x=3885\)
\(\Rightarrow13940-5x=3885\)
\(\Rightarrow5x=10055\)
\(\Rightarrow x=10055:5\)
\(\Rightarrow x=2011\)
a) \(3^x=27=3^3\)
=> x= 3
b) \(5^x=125=5^3\)
=> x = 3
c) \(2^x.2^3=2^{64}\)
\(2^{x+3}=2^6\)
=> x+ 3 = 6
=> x = 6 - 3
=> x = 3
d) \(7.7^{x+2}=343\)
\(7^{x+3}=7^3\)
=> x + 3 = 3
=> x = 0