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\(\left(2x-1\right)^4=16=\left(\pm2\right)^4\\ =>\left[{}\begin{matrix}2x-1=2\\2x-1=-2\end{matrix}\right.\\ =>\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-\dfrac{1}{2}\end{matrix}\right.\)
\(\left(2x+1\right)^3=125=5^3\\ =>2x+1=1\\ =>x=2\)
a)\(x^{15}=x\Rightarrow x\in\left\{0;1\right\}\) d)Là ý b
b)\(\left(2x+1\right)^3=125\\ \left(2x+1\right)^3=5^3\Rightarrow2x+1=5\\ 2x=4\\ x=2\) e)\(\left(x-3\right)^2=25\\ \Rightarrow\left(x-3\right)^2=5^2\\ \Rightarrow\hept{\begin{cases}x-3=5\Rightarrow x=8\\x-3=-5\Rightarrow x=-2\end{cases}}\)
c)\(\left(x-5\right)^4=\left(x-5\right)^6\\ \Rightarrow x-5\in\left\{0;1\right\}\Rightarrow x\in\left\{5;6\right\}\)
(5 mũ 2)mũ 3 : 5 mũ 2
5 mũ 2 x3 :5 mũ 2
5 mũ 6 : 5 mũ 2 =5 mũ 4=625
( 2x + 1 )3 = 96
( 2x + 1 )3 = 63
2x + 1 = 6
2x = 6 - 1
2x = 5
x = 5 : 2
x = 2,5
16x < 1284
x = 0;1;2;3;4;........
a.(3^2+4^2).x=10^2
(9+16).x =100
25.x =100
x =100:25
x =4
b.(x-5)^2 =81
x-5 =9
x =9+5
x =14
c.(2x+1)^3 = 343
2x+1 = 7
2x =7-1
2x =6
x =6:2
x = 3
a) 64 * 4^x = 16^8
4^x = 16^8 : 64
4^x = 2^32 : 2^6
4^x = 2^26
4^x = (2^2)13
4^x = 4^13
=> x= 13
b) (2x+1)^3 = 5^3
=> 2x+1 = 5
2x = 4
x= 2
c) (x-5)^4 =(x-5)^6
d) (x-1)^x+2 = (x-1)^x+4
(x-1)^x * (x-1)^2 = (x-1)^x * (x-1)^4
(x-1)^x = (x-1)^4 :(x-2)^2
(x-1)^x = (x-2)^2
=> x=2
a) \(\left(x-2\right)^2=2^2\)
\(\Rightarrow\left(x-2\right)\left(x-2\right)=2^2\Rightarrow x^2-4x+4=4\)
\(\Rightarrow x^2-4x=0\Rightarrow x\left(x-4\right)=0\Rightarrow\orbr{\begin{cases}x=0\\x-4=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=0\\x=4\end{cases}}\)
b) \(\left(x+\frac{1}{2}\right)^2=16\)
\(\Rightarrow\left(x+\frac{1}{2}\right)^2=4^2=\left(-4\right)^2\)
\(x+\frac{1}{2}=4\) hoặc \(x+\frac{1}{2}=-4\)
\(\Rightarrow x=4-\frac{1}{2}\) hoặc \(x=-4-\frac{1}{2}\)
\(\Rightarrow x=\frac{7}{2}\) hoặc x = \(-\frac{9}{2}\)
c) \(\left(2x-3\right)^2-9=27\Rightarrow\left(2x-3\right)^2=36\)
\(\Rightarrow2x-3=6\) hoặc \(2x-3=-6\)
\(\Rightarrow2x=9\) hoặc \(2x=-3\)
\(\Rightarrow x=\frac{9}{2}\) hoặc \(x=-\frac{3}{2}\)
d) \(\left(2x-3\right)^3=-8\Rightarrow2x-3=-2\)
\(\Rightarrow2x=-2+3=1\Rightarrow x=\frac{1}{2}\)
Chúc bạn hc giỏi,lila ma ri !
1. \(2^x-26=6\)
\(\Rightarrow2^x=6+26\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
2. \(64\cdot4^x=16^8\)
\(\Rightarrow4^3\cdot4^x=4^{16}\)
\(\Rightarrow4^x=4^{16}:4^3\)
\(\Rightarrow4^x=4^{13}\)
\(\Rightarrow x=13\)
3. \(\left(2x-1\right)^4=16\)
\(\Rightarrow\left(2x-1\right)^4=2^4\)
\(\Rightarrow2x-1=2\)
\(\Rightarrow2x=3\)
\(\Rightarrow x=\dfrac{3}{2}\)
4. \(\left(2x+1\right)^3=125\)
\(\Rightarrow\left(2x+1\right)^3=5^3\)
\(\Rightarrow2x+1=5\)
\(\Rightarrow2x=4\)
\(\Rightarrow x=2\)