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a) \(3^x\cdot3=243\)
\(\Rightarrow3^{x+1}=243\)
\(\Rightarrow3^{x+1}=3^5\)
\(\Rightarrow x+1=5\)
\(\Rightarrow x=4\)
b) \(2^x\cdot162=1024\)
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c) \(64\cdot4^x=168\)
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d) \(2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
a: =>3^x=81
=>x=4
b: =>2^x=1024/16^2=4
=>x=2
c: =>4^x=16^8/64=4^16/4^3=4^13
=>x=13
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n+1 chia hết cho n+4
=>n+4-3 chia hết cho n+4
=>n+4\(\varepsilon\)Ư(3)={+1;+3}
n+4=1=>n=-3
n+4=-1=>n=-5
n+4=3=>n=-1
n+4=-3=>n=-7
n+1 chia n+4 =1 dư -3 (chia đa thức cho đa thức )
mà n+1 chia hết cho n+4 (gt)=> n+4 là ước của n+1 => n+4 thuộc Ư(-3)={-3,-1.1.3}
n+4=-3=> n=-7
n+4=-1=> n=-5
n+4=1=> n=-3
n+4=3=> n=-1
(162+3x)+(x-2)=0
=> 162+3x+x-2=0
=> 162+4x-2=0
=> 4x=0-162+2
=> 4x=-160
=> x=-40
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1.4:
a: =>3x-16=2*7=14
=>3x=30
=>x=10
1.3:
\(=\dfrac{21\left(4\cdot34-64\right)}{42\cdot9}=\dfrac{1}{2}\cdot\dfrac{4\left(34-16\right)}{9}=\dfrac{1}{2}\cdot4\cdot2=4\)
`@` `\text {Answer}`
`\downarrow`
`i)`
`(84*34-21*64) \div (42*9)`
`= (21*4 * 34 - 21 * 4* 16) \div (42 * 9)`
`= 84*(34 - 16) \div (42*9)`
`= 84*18 \div 42*9`
`= 1512 \div 378`
`= 4`
`1.4`
`a)`
`(3x - 2^4) * 7^3 = 2*7^4`
`=> (3x - 2^4) = 2*7^4 \div 7^3`
`=> (3x-2^4) = 2*7`
`=> 3x - 2^4 = 14`
`=> 3x = 14 + 2^4`
`=> 3x = 30`
`=> x = 30 \div 3`
`=> x = 10`
Vậy, `x = 10.`
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Tách ?
`a, 70 -5.(x-3) =45`
`=> 5.(x-3)= 70-45`
`=> 5.(x-3)=25`
`=>x-3=25:5`
`=>x-3=5`
`=>x= 5+3`
`=>x=8`
______
`b,10 + 2.x = 4^5:4^3`
`=> 10 + 2.x = 4^(5-3)`
`=> 10 + 2.x =4^2=16`
`=> 2.x=16-10`
`=>2.x=6`
`=>x=6:2`
`=>x=3`
_____
`c,60-3.x-2=51`
`=> 60-3.x= 51+2`
`=> 60-3.x=53`
`=>3.x=60-53`
`=> 3.x= 7`
`=>x= 7/3`
____
`d, 4.x-20=2^5:2^3`
`=> 4.x-20=2^(5-3)`
`=> 4.x-20=2^2`
`=> 4.x= 4+20`
`=>4.x=24`
`=>x=24:4`
`=>x=6`
____
`2^x . 4=16`
`=> 2^x=16:4`
`=>2^x= 4`
`=>2^x=2^2`
`=>x=2`
____
`f, 3^x . 3=243`
`=>3^x=243:3`
`=> 3^x=81`
`=> 3^x=3^3`
`=>x=3`
_____
`g, 64. 4^x =16^8`
`=> 4^3 . 4^x=(4^2)^8`
`=> 4^3 . 4^x = 4^(16)`
`=> 4^x= 4^(16-3)`
`=>4^x=4^(13)`
`=>x=13`
_____
`2^x . 16^2 =1024`
`=> 2^x= 1024 : 16^2`
`=>2^x=4`
`=>2^x=2^2`
`=>x=2`
a: =>5(x-3)=25
=>x-3=5
=>x=8
b: =>2x=16-10=6
=>x=3
c: =>58-3x=51
=>3x=7
=>x=7/3
d: =>4x-20=4
=>4x=24
=>x=6
e: =>2^x=4
=>2^x=2^2
=>x=2
f: =>3^x=81
=>3^x=3^4
=>x=4
g: =>4^x*4^3=4^16
=>x+3=16
=>x=13
h: =>2^x=1024/256=4=2^2
=>x=2
\(3^{x+1}.2=162\)
\(3^{x+1}=\frac{162}{2}\)
\(3^{x+1}=81\)
\(3^{x+1}=3^4\)
\(\Rightarrow x+1=4\)
\(\Rightarrow x=3\)
vậy \(x=3\)
=> 3^x+1 = 162 : 2 = 81 = 3^3
=> x+1 = 4
=> x = 4-1 = 3
k mk nha