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(8x - 1)2n+1 = 52n+1 ( lũy thừa bậc lẻ )
8x - 1 = 5
8x = 6
x = 3/4
\(\left(8x-1\right)^{2n+1}=5^{2n+1}\Rightarrow8x-1=5\Rightarrow8x=6\Rightarrow x=\frac{6}{8}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
(8x - 1)2n+1 = 52n+1
8x - 1 = 5
8x - 1 = 5
8x = 6
x = \(\frac{3}{4}\)
n là số tự nhiên số mũ 2n + 1 > 0
=> (8x-1)2n+1=52n+1 => 8x - 1 = 5 => 8x = 6 => x = 6/8 = 3/4
Vậy x = 3/4
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài làm :
Ta có :
\(\left(8x-1\right)^{2n+1}=5^{2n+1}\)
\(\Leftrightarrow8x-1=5\)
\(\Leftrightarrow8x=5+1\)
\(\Leftrightarrow8x=6\)
\(\Leftrightarrow x=\frac{6}{8}=\frac{3}{4}\)
Chúc bạn học tốt !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(8x-1\right)^{2n+1}=5^{2n+1}\)
\(\Leftrightarrow8x-1=5\)
\(\Leftrightarrow x=\frac{3}{4}\)
\(\left(8x-1\right)^{2n+1}=5^{2n+1}\)
\(\Rightarrow8x-1=5\)
\(\Rightarrow8x=6\)
\(\Rightarrow x=\frac{3}{4}\)
Vậy \(x=\frac{3}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(5^x\cdot5^6=5^4\)
\(5^x=5^{4-6}\)
\(5^x=5^{-2}\)
=> x = -2
b) \(\left(5x+1\right)^2=\left(\pm\frac{6}{7}\right)^2\)
+) 5x + 1 = 6/7
5x = -1/7
x = -1/35
+) 5x + 1 = -6/7
5x = -13/7
x = -13/35
Vậy,.........
Tìm x biết:
\(\left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\)
\(\left(8x-1\right)^{2n+1}=5^{2n+1}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
(x-7)x+1-(x-7)x+11=0
=>x-7=0
=>x=7
(8x-1)2n+1=52n+1
=>8x-1=5
=>8x=6
=>x=3/4
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