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\(a,\left(27x+6\right):3-11=9\)
\(\Rightarrow\left(27x-6\right):3=20\)\(\Rightarrow27x-6=60\)\(\Rightarrow27x=66\)\(\Rightarrow x=\frac{22}{9}\)
\(b,\left(15-6x\right).3^5=3^6\)
\(\Rightarrow15-6x=3\)\(\Rightarrow6x=12\)\(\Rightarrow x=2\)
\(c,\left(2x-6\right).4^7=4^9\)
\(\Rightarrow2x-6=16\)\(\Rightarrow2x=22\)\(\Rightarrow x=11\)
Bài 1: Tìm x
a,(27.x+6):3-11=9
﴾ 27x + 6﴿ : 3 ‐ 11 = 9
﴾ 27x + 6﴿ : 3 = 20
27x + 6 = 60
27x = 54
x = 54 : 27
x = 2
Vậy x = 2
b,( 15-6x ) . 35=36
( 15 - 6x ) = 36 : 35
15 - 6x = 3
6x = 15 - 3
6x = 12
x = 12 : 6
x = 2
Vậy x = 2
c,( 2x-6 ) . 47=49
2x - 6 = 49 : 47
2x - 6 = 16
2x = 16 + 6
2x = 22
x = 22 : 2
x = 11
Vậy x = 11
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!
(2x-15)5=(2x-15)3
=>(2x-15)5-(2x-15)3=0
=>(2x-15)3.(2x-15)2-(2x-15)3.1=0
=>(2x-15)3.((2x-15)2-1)=0
=>(2x-15)3=0=>2x-15=0=>2x=15=>x=15/2
hoặc (2x-15)2-1=0=>(2x-15)2=0=>2x-15=1,-1=>2x=16,14=>x=8,7
Vậy x=15/2,8,7.
ta co ( 2x-15)5= (2x-15)3
=> (2x-15)5-(2x-15)3=0
=> (2x-15)3 .{(2x-15)2-1}=0
=> (2x-15)3=0 hoac (2x-15)2-1=0
=> 2x=15 hoac (2x-15)2=1
=> x=15/2 hoac 2x-15=-1;1
=> x=15/2 hoac 2x= 14;16 => x=7;8
vay x=15/2;7;8
\(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Leftrightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)
\(\Leftrightarrow\left(2x-15\right)^3\left[\left(2x-15\right)^2-1\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}2x-15=0\\\left(2x-15\right)^2=1\end{cases}}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x=15\\2x-15=\pm1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{15}{2}\\2x-15=\pm1\Leftrightarrow\orbr{\begin{cases}2x=16\\2x=14\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=8\\x=7\end{cases}}\end{cases}}}\)\(\Leftrightarrow\orbr{\begin{cases}x=\frac{15}{2}\\2x-15=\pm1\Leftrightarrow\orbr{\begin{cases}2x=16\\2x=14\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=8\\x=7\end{cases}}\end{cases}}\)
(2x - 15)5 = (2x - 15)3
<=> (2x - 15)5 - (2x - 15)3 = 0
<=> (2x - 15)3.[(2x - 15)2 - 1] = 0
<=> \(\orbr{\begin{cases}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{cases}}\)
<=> \(\orbr{\begin{cases}x=\frac{15}{2}\\\left(2x-15\right)^2=1^2=\left(-1\right)^2\end{cases}}\)
<=> \(\orbr{\begin{cases}x=\frac{15}{2}\\\orbr{\begin{cases}2x-15=1\\2x-15=-1\end{cases}}\end{cases}}\)
<=> \(\orbr{\begin{cases}x=\frac{15}{2}\\\orbr{\begin{cases}x=8\\x=-8\end{cases}}\end{cases}}\)
Vậy x = \(\frac{15}{2}\); \(\pm\)8
\(\left(2^x-15\right)^5=\left(2x-15\right)^3\)
\(\Leftrightarrow2^{15x}-15^5=\left(2x\right)^3-15^3\)
\(\Leftrightarrow2^{15x}-8x^3=15^5-15^3\)
... Tự làm tiếp nhé !
1500: [(30x + 40) : x]=30
=>(30x + 40): x = 1500 : 30
=>30x : x+ 40:x=50
=> 30 + 40 :x=50
=> 40 :x=50-30
=> 40:x=20
=>x=40:20
=>x=2
: [(30x + 40) : x] = 30(2x - 15)5 = (2x - 15)3
=>(30x+40):x=1500 : 30=50
40:x = 50-30
40:x=20
x=2
\(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Leftrightarrow\left(2x-15\right)^5-\left(2x-15\right)^3\)
\(\Leftrightarrow\left(2x-15\right)^3.\left[\left(2x-15\right)^2-1\right]=0\)
\(\Leftrightarrow\left(2x-15\right)^3.\left(2x-16\right).\left(2x-14\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}2x-15=0\\2x-16=0\\2x-14=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=15\\2x=16\\x=14\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=8\\x=7\end{matrix}\right.\)
`(2x-15)^5 =(2x-15)^3`
`<=> (2x-15)^5 -(2x-15)^3 =0`
`<=>(2x-15)^3*[(2x-15)^2-1]=0`
`@TH1 : (2x-15)^3=0 => 2x-15 =0`
`=> 2x=15 => x=15/2`
`@TH2 : (2x-15)^2 -1 =0`
`=> [(2x-15=1),(2x-15=-1):}`
`=> [(2x=1+15=16),(2x=-1+15=14):}`
`=>[(x=8),(x=7):}`
Vậy `x in {15/2;8;7}`