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Giả sử các bài của bạn x ϵ N (vì đề bài của bạn không nói)
1) Ư(42)={1;2;3;6;7;14;21;42}
B(6)={0;6;12;18...}
2) A={xϵB(4)/x<26}={0;4;12;16;20;24}
B={xϵƯ(36)/6<x<18}={6;9;12}
3) a) x⋮4 và x<10
⇒ x ϵ {0;4;8}
b) 96⋮x và x>16
⇒ x ϵ {24;32;48;96}
c) 8 ⋮ (x+1)
⇒ (x+1) là Ư(8)
⇒ (x+1) ϵ {1;2;4;8}
⇒ x ϵ {0;1;3;7}
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\(1,\\ a,\Leftrightarrow4^{5-x}=4^2\Leftrightarrow5-x=2\Leftrightarrow x=3\\ b,\Leftrightarrow\left[{}\begin{matrix}x-1=5\\x-1=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=6\\x=-4\end{matrix}\right.\\ c,\Leftrightarrow2x+1=3\Leftrightarrow x=2\\ 2,\\ a,3^{100}=\left(3^2\right)^{50}=9^{50}\\ b,2^{98}=\left(2^2\right)^{49}=4^{49}< 9^{49}\\ c,5^{30}=5^{29}\cdot5< 6\cdot5^{29}\\ d,3^{30}=\left(3^3\right)^{10}=27^{10}>8^{10}\\ 4,\\ a,\Leftrightarrow5\left(x-10\right)=10\\ \Leftrightarrow x-10=2\Leftrightarrow x=12\\ b,\Leftrightarrow3\left(70-x\right)+5=92\\ \Leftrightarrow3\left(70-x\right)=87\\ \Leftrightarrow70-x=29\\ \Leftrightarrow x=41\\ c,\Leftrightarrow16+x-5=315-230=85\\ \Leftrightarrow x=74\\ d,\Leftrightarrow2^x-5+74=707:\left(16-9\right)=707:7=101\\ \Leftrightarrow2^x=32=2^5\\ \Leftrightarrow x=5\)
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a, \(x + 1/6 = -3/8 \)
\(x = -3/8 - 1/6\)
\(x = -13/24\)
Vậy \(x = -13/24\)
b, \(-3/7 - x = 4/5 - 2/3\)
\(-3/7 - x = 2/15\)
\(x = -3/7 - 2/15\)
\(x = -59/105.\)
Vậy \(x = -59/105\)
x+1/6=-3/8
x=-3/8-1/6
x=-13/24
-3/7-x=4/5+-2/3
-3/7-x=2/15
x=-3/7-2/15
x=-59/105
![](https://rs.olm.vn/images/avt/0.png?1311)
1/2x3/2+1/3x4/2+1/4x5/2+1/5x6/2+.......+2/Xx(X+1)=2011/2013
2/2x3+2/3x4+2/4x5+2/5x6+.....+2/Xx(X+1)=2011/2013
2x(1/2x3+1/3x4+1/4x5+1/5x6+....+1/Xx(x+1)=2011/2013
1/2x3+1/3x4+1/4x5+1/5x6+....+1/Xx(X+1)=2011/4026
1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+.....+ 1/x-1/x+1=2011/4026
1/2-1/x+1=2011/4026
1/x+1=1/2-2011/4026
1/x+1=1/2013
Suy ra x=2012
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1: =>5(2x+6)=40
=>2x+6=8
=>2x=2
=>x=1
2: =>12-(x+3)=256:64=4
=>(x+3)=8
=>x=5
3: =>2x-1=3 hoặc 2x-1=-3
=>x=2 hoặc x=-1
4: \(\Leftrightarrow3^{x+2017}=3^{2015}\)
=>x+2017=2015
=>x=-2
\(x\div\frac{1}{2}+x\div\frac{1}{4}+x\div\frac{1}{8}+x\div\frac{1}{10}=96\)
\(2x+4x+8x+10x=96\)
\(24x=96\)
\(x=4\)
Ta có: \(x:\frac{1}{2}+x:\frac{1}{4}+x:\frac{1}{8}+x:\frac{1}{10}=96\)
\(\Rightarrow2x+4x+8x+10x=96\)
\(\Rightarrow24x=96\)
\(x=96:24=4\)
Vậy ...........................................
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