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34.x+4 = 81x+3 <=> 34.x+4 = 33.x+9 <=> 4.x+4 = 3.x+9 <=> 4.x - 3.x = 9-4 <=> x=5
Mk chỉ làm bài tính tổng thôi nhé!!!
A= 1+2+2^2+2^3+...+2^50
A.2= 2+2^2+2^3+...+2^50+2^51
A.2-A= (2+2^2+2^3+...+2^50+2^51)-(1+2+2^2+2^3+2^4+...+2^50)
A= 2^51-1
Vậy A= 2^51-1
B= 5+5^2+5^3+5^4+5^5+...+5^200
B.5= 5^2+5^3+5^4+...+5^200+5^201
B.5-B=5^201-5
B.4= 5^201-5
B= (5^201-5):4
Vậy B= (5^201-5):4
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a) 2x-15=17
2x = 17+15 = 32
x = 32 : 2 =16
b) \(2^x.4=128\)
\(2^x=128:4=32\)
Mà \(32=2^5\)
Vậy x = 5
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a) (7x - 11)3 = 25.52 + 200
=> (7x - 11)3 = 1000
=> (7x - 11)3 = 103
=> 7x - 11 = 10
=> 7x = 10 + 11
=> 7x = 21
=> x = 21 : 7
=> x = 3
b) x10 = 1x
=> x10 = 1
=> x10 = 110
=> x = 1
c) x10 = x
=> x10 - x = 0
=> x(x9 - 1) = 0
=> \(\orbr{\begin{cases}x=0\\x^9-1=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=0\\x^9=1\end{cases}}\)
=> \(\orbr{\begin{cases}x=0\\x=1\end{cases}}\)
Vậy...
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a) \(\left(7x-11\right)^3=2^5.5^2+200\)
\(\Rightarrow\left(7x-11\right)^3=32.25+200\)
\(\Rightarrow\left(7x-11\right)^3=800+200\)
\(\Rightarrow\left(7x-11\right)^3=1000\)
\(\Rightarrow\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(\Rightarrow7x=10+11\)
\(\Rightarrow7x=21\)
\(\Rightarrow x=21:7\)
\(\Rightarrow x=3\)
Vậy x = 3
b) \(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Rightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)
\(\Rightarrow\left(2x-15\right)^3\left[\left(2x-15\right)^2-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}\left(2x-15\right)^3=0\\\left(2x-15\right)^2=1\end{cases}}\)
TH 1 : \(\left(2x-15\right)^3=0\Rightarrow2x-15=0\Rightarrow2x=15\Rightarrow x=\frac{15}{2}\)
TH 2 : \(\left(2x-15\right)^2=1\Rightarrow\orbr{\begin{cases}2x-15=1\\2x-15=-1\end{cases}}\Rightarrow\orbr{\begin{cases}2x=16\\2x=14\end{cases}}\Rightarrow\orbr{\begin{cases}x=8\\x=7\end{cases}}\)
Vậy \(x\in\left\{\frac{15}{2};8;7\right\}\)
_Chúc bạn học tốt_
tìm STN x biết
a) 2x - 15 = 17
b) ( 7x - 11 )3 = 25 . 52 + 200
c) x10 = 1x
d) x10 = x
e) ( x - 1 )3 = 27
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 2x - 15 = 17
<=> 2x = 2
<=> x = 1
b) ( 7x - 11 )3 = 25.52 + 200
<=> ( 7x - 11 )3 = 800 + 200
<=> ( 7x - 11 )3 = 103
<=> 7x - 11 = 10
<=> 7x = 21
<=> x = 3
c) x10 = 1x
<=> x = 0 hoặc 1
d) x10 = x
<=> x = 0 hoặc 1
e) ( x - 1 )3 = 27
<=> ( x - 1 )3 = 33
<=> x - 1 = 3
<=> x = 4
5x.3 + 5x+1 = 200
5x.( 3 +5) = 200
5x = 200: 8
5x = 25
5x = 52
x = 2