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a
(4x+7)2 = 25/36
(4x+7)2 = (5/6)2
==> 4x+7=5/6
4x=5/6-7=-37/6
x=-37/6:4=-37/24
b
(5+2x)3 = 8
(5+2x)3 = 23
==> 5+2x=2
2x=2-5=-3
x=-3:2=-1,5
c
3x.9=243
3x.32=35
3x=35:32
3x=33
3x=27 ==> x=27:3=9
d
42x = (-64).(-4)
42x = 43.41 = 44
==> 2x = 4
x = 4:2=2
Tick giúp mình nhe ahihi ^_^
A. ( x + 5 )3 = - 27 B. ( 2x - 3 )3 = -64 C. ( 3x - 4 )2 = 36
( x + 5 )3 = ( - 3 )3 ( 2x - 3 )3 = ( -4 )3 ( 3x - 4 )2 = 62
=> x + 5 = -3 => 2x - 3 = -4 => 3x - 4 = 6
x = -3 - 5 2x = - 4 + 3 3x = 6 + 4
x = -8 2x = -1 3x = 10
Vậy x = -8 x = -1 : 2 x = 10 : 3
x = -1/2 x = 10/3
Vậy x = -1/2 Vậy x = 10/3
~ Mk cũng ko chắc lắm, nếu đúng thì tk ~
\(\left(x+5\right)^3=-27\)
\(\Leftrightarrow\left(x+5\right)^3=-3^3\)
\(\Leftrightarrow x+5=-3\)
\(\Leftrightarrow x=\left(-3\right)-5\)
\(\Leftrightarrow x=-8\)
Roy câu sau tương tự.
\(\left(x-1\right)^3=27\)
\(\Leftrightarrow\left(x-1\right)^3=3^3\)
\(\Leftrightarrow x-1=3\)
\(\Leftrightarrow x=4\)
\(x^2+x=0\)
\(\Leftrightarrow x\left(x+1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=-1\end{cases}}\)
Vậy x = 0 hoặc x = -1
\(\left(2x+1\right)^2=25\)
\(\Leftrightarrow\left(2x+1\right)^2=\left(\pm5\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}2x+1=5\\2x+1=-5\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-3\end{cases}}\)
Vậy x = 2 hoặc x = -3
\(\left(2x-3\right)^2=36\)
\(\Leftrightarrow\left(2x-3\right)^2=\left(\pm6\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}2x-3=6\\2x-3=-6\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=4,5\\x=-1,5\end{cases}}\)
Vậy x = 4,5 hoặc x = -1,5
a, \(3^{2x+2}=9^{10}\\ 3^{2x+2}=\left(3^2\right)^{10}\\ 3^{2x+2}=3^{20}\\ \Rightarrow2x+2=20\\ \Rightarrow2x=18\\ \Rightarrow x=9\)Vậy x = 9
b, \(3^{3x}=27^{13}\\ 3^{3x}=\left(3^3\right)^{13}\\ 3^{3x}=3^{39}\\ \Rightarrow3x=39\\ \Rightarrow x=13\)Vậy x = 13
c, \(2^x=4^6\cdot16^3\\ 2^x=\left(2^2\right)^6\cdot\left(2^4\right)^3\\ 2^x=2^{12}\cdot2^{12}\\ 2^x=2^{24}\\ \Rightarrow x=24\)Vậy x = 24
d, \(2^x=32^5\cdot64^6\\ 2^x=\left(2^5\right)^5\cdot\left(2^6\right)^6\\ 2^x=2^{25}\cdot2^{36}\\ 2^x=2^{61}\\ \Rightarrow x=61\)Vậy x = 61
a, (2x-3)3 = -64
=> (2x-3)3 = -43
=> 2x-3=-4
=> 2x = -1
=> x = -1 : 2
=> x = -1/2
b, (2x-3)2 =25
=> (2x-3)2 =5^2
=> 2x-3 = 5
=> 2x = 8
=> x = 4
c, (3x-4)2 =36
=> (3x-4)2 =62
=> 3x-4 = 6
=> 3x = 10
=> x = 3.(3)
d, 2x+1 = 64
=> 2x+1 = 26
=> x+1 = 6
=> x = 5
a/ (2x - 3)3 = -64 => (2x - 3)3 = (-4)3 => 2x - 3 = -4 => 2x = -1 => x = -1/2
b/ (2x - 3)2 = 25 => (2x - 3)2 = 52 => 2x - 3 = 5 => 2x = 8 => x = 4
c/ (3x - 4)2 = 36 => (3x - 4)2 = 62 => 3x - 4 = 6 => 3x = 10 => x = 10/3
d/ 2x+1 = 64 => 2x+1 = 26 => x + 1 = 6 => x = 5