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a) \(\left(2x+1\right)^3=27\)
\(\Leftrightarrow2x+1=3\)
\(\Leftrightarrow x=1\)
b) \(\left(2x-1\right)^3=125\)
\(\Leftrightarrow2x-1=5\)
\(\Leftrightarrow x=3\)
c) \(\left(x+1\right)^4=\left(2x\right)^4\)
\(\Leftrightarrow x+1=2x\)
\(\Leftrightarrow x=1\)
d) \(\left(2x-1\right)^5=x^5\)
\(\Leftrightarrow2x-1=x\)
\(\Leftrightarrow x=1\)
a. ( 2x + 1 )3 = 27
<=> ( 2x + 1 )3 = 33
<=> 2x + 1 = 3
<=> 2x = 2
<=> x = 1
b. ( 2x - 1 )3 = 125
<=> ( 2x - 1 )3 = 53
<=> 2x - 1 = 5
<=> 2x = 6
<=> x = 3
c. ( x + 1 )4 = 2x4
<=> x + 1 = 2x
<=> x = 1
d. ( 2x - 1 )5 = x5
<=> 2x - 1 = x
<=> x = 1
125:(2x-3)=25
-->2x-3=125:25
-->2x-3=5
-->2x=5+3
-->2x=8
-->x=8:2
-->x=4
k nha
\(125:\left(2x-3\right)=5^5:5^3\)
\(125:\left(2x-3\right)=5^2=25\)
\(2x-3=5\)
\(2x=8\)
\(x=4\)
\(5^{x+1}=125\)
\(5^{x+1}=5^3\)
\(x+1=3\)
\(x=2\)
b, \(5^{2x-3}-2.5^2=5^2.3\)
\(5^{2x-3}=5^2.\left(3+2\right)\)
\(5^{2x-3}=5^3\)
\(2x-3=3\)
\(x=3\)
c, \(2^x=32\)
\(2^x=2^5\)
\(x=5\)
Chúc em học tốt.
(2\(x\) - 1)3 = 125
(2\(x\) - 1)3 = 53
2\(x\) - 1 = 5
2\(x\) = 6
\(x\) = 3
(2\(x\) - 1)5 = \(x^5\)
2\(x\) - 1 = \(x\)
2\(x\) - \(x\) = 1
\(x\) = 1
2\(x^5\) + 2 = 4
2\(x^5\) = 4 - 2
2\(x^5\) = 2
\(x^5\) = 1
\(x\) = 1
\(\left(2x-1\right)^4=16=\left(\pm2\right)^4\\ =>\left[{}\begin{matrix}2x-1=2\\2x-1=-2\end{matrix}\right.\\ =>\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-\dfrac{1}{2}\end{matrix}\right.\)
\(\left(2x+1\right)^3=125=5^3\\ =>2x+1=1\\ =>x=2\)
( 3x - 1 )^2 = 25 = (+-5)^2
+) 3x - 1 = 5
3x = 6
x = 2
+) 3x - 1 = -5
3x = -4
x = -4/3
Vậy,.........
Các câu còn lại tương tự
\(\left(2x+1\right)^3=125\\ \Rightarrow\left(2x+1\right)^3=5^3\\ \Rightarrow2x+1=5\\ \Rightarrow2x=5-1\\ \Rightarrow2x=4\\ \Rightarrow x=4:2\\ \Rightarrow x=2\)
\(\left(2x+1\right)^3=125\)
=>\(\left(2x+1\right)^3=5^3\)
=>2x+1=5
=>2x=5-1=4
=>\(x=\dfrac{4}{2}=2\)