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a,(2x-15)^5=(2x-15)^3
=>(2x-15)^5 - (2x-15)^3=0
=>(2x-15)^3 x (2x-15)^2 - (2x-15)^3 =0
=>(2x-15)^3 x [(2x-15)^2 - 1] =0
Ta xét 2 trường hợp:
TH1:(2x-15)^3 =0
=>2x-15 =0
.2x=0+15
2x=15
x=15:2
x=7,5
TH2:(2x-15)^2 - 1=0
=>(2x-15)^2=0+1
(2x-15)^2=1
=>2x-15=1
2x=1+15
2x=16
x=16:2
x=8
b,(x+3)^4=2401
(x+3)^4=7^4
=>x+3=7
x=7-3
x=4
c,(x-5)^3=1
=>x-5=1
x=1+5
x=6
Chúc bạn học tốt!
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a, 2x . 4 = 128
2x = 128 : 4
2x = 32
2x = 25
=> x = 5
b, x15 = x1
=> x15 - x = 0
x . ( x14 - 1 ) = 0
=> x = 0 hoặc x14 - 1 = 0
=> x = 0 hoặc x = 1
c, (2x + 1)3 = 125
( 2x + 1 )3 = 53
=> 2x + 1 = 5
=> 2x = 5 - 1
=> 2x = 4
=> x = 4 : 2
=> x = 2
d, (x – 5)4 = (x - 5)6
=> ( x - 5 )6 - ( x - 5 )4 = 0
=> ( x - 5 )4 . [ ( x - 5 )2 - 1 ] = 0
=> \(\orbr{\begin{cases}\left(x-5\right)^4=0\\\left(x-5\right)^2-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=6\end{cases}}}\)
e, x10 = x
x10 - x = 0
x . ( x9 - 1 ) = 0
\(\Rightarrow\orbr{\begin{cases}x=0\\x^9-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=1\end{cases}}}\)
f, (2x -15)5 = (2x -15)3
( 2x - 15 )5 - ( 2x - 15 )3 = 0
( 2x - 15 )3 . [ ( 2x - 15 )2 - 1 ] = 0
\(\Rightarrow\orbr{\begin{cases}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{cases}\Rightarrow\orbr{\begin{cases}2x-15=0\\2x-15=1\end{cases}\Rightarrow}\orbr{\begin{cases}x\text{ không tồn tại}\\x=8\end{cases}}}\)
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1) 3^4.2+2^3.5-7(5^7:5^5)
=3^4.2+2^3.5-7.5^2
=81.2+8.5-7.25
=162+40-175
=202-175=27
2) 5.2^2.2^3-4(5^8:5^6)
=5.4.8-3.5^2
=160-100=60
3) (3^5.3^7):3^10+5.2^4-7^3:7
=3^12:3^10+5.16-7^2
=3^2+80-7^2
=9+80-49=40
4) 15:(3^5:3^4)-2^9:2^7
=15:3-2^2
=5-4=1
5) 5.3^5:(3^8:3^5)-2^3.5
=5.3^5:3^3-8.5
=5.3^2-40
=5.9-40
=45-40=5
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=> 2x-15 = 1 hoặc 0
=> x=8 (x là số tự nhiên)
b) => x-5 = 0 ; 1 hoặc -1
=> x = 5 ; 6 hoặc 4
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x23:216=x15.x5
x23: 63= x20
==> 63=x23:x20
==> 63=x3
==> x=6
(5x.5x+2):53=125
==> 52x+2:53=53
==> 52x+2=53.53
==> 52x+2=56
==> 2x+2=6
2x=6–2
2x=4
x=4:2
x=2
(3x.3x+4):33=243
==> 32x+4:33=35
32x+4=35.33
32x+4=38
==> 2x+4=8
2x=8–4
2x=4
x=4:2
x=2
3x+3x+1+3x+2=243
3x.1+3x.31+3x.32=243
3x.(1+31+32)=243
3x. (1+3+9)=243
3x.13=243
3x=243:13
3x=...
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1) \(\Leftrightarrow x+11-15+x+20=0\)
\(\Leftrightarrow2x+16=0\)
\(\Leftrightarrow x=-8\)
2) \(\Leftrightarrow2x-16+x-13=16\)
\(\Leftrightarrow3x-45=0\)
\(\Leftrightarrow x=15\)
Những câu dưới bạn làm tương tự như vậy nhé
1)(x+11)–(15–x) =–20
x+11 - 15 + x = -20
x + ( 11 -15 ) = -20
x + ( -4 ) = -20
x = -20 - ( -4 )
x = -16
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\(5^x.5^{x+3}=5^4+5^4+5^4+5^4+5^4\\ 5^x\left(1+5^3\right)=5^4\left(1+1+1+1+1\right)\\ 5^x\left(1+125\right)=5^4.5\\ 5^x.126=5^5\\ \dfrac{5^5}{5^x}=126\\ \Rightarrow5-x=126\\ \Rightarrow x=5-126=-121\)
b,
\(24+5x=7^{15}:7^{12}\\ 24+5x=7^3\\ 24+5x=343\\ 5x=343-24\\ 5x=319\\ x=319:5=63,8\)
c,
\(5x-2006=2^4.4\\ 5x-2006=64\\ 5x=64+2006\\ 5x=2017\\ x=2017:5=414\)
53-5(4+x)=15
=125-5(4+x)=15
=5(4+x)=125-15
=5(4+x)=110
=4+x=110:5
=4+x=22
=x=22-4
=>x=18
~Hok tốt~
k mik nhé