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3) \(...\Rightarrow2^x\left(2^3+1\right)=36\)
\(\Rightarrow2^x.9=36\)
\(\Rightarrow2^x=4\)
\(\Rightarrow2^x=2^2\Rightarrow x=2\)
4) \(...\Rightarrow4^{x+1}-4^x=12\)
\(\Rightarrow4^x\left(4-1\right)=12\)
\(\Rightarrow4^x.3=12\)
\(\Rightarrow4^x=4=4^1\Rightarrow x=1\)
5) \(...\Rightarrow5^{x+1}\left(5^2-1\right)=3000\)
\(\Rightarrow5^{x+1}.24=3000\)
\(\Rightarrow5^{x+1}=125\)
\(\Rightarrow5^{x+1}=5^3\)
\(\Rightarrow x+1=3\)
\(\Rightarrow x=2\)
6) Bạn xem lại đề
a. \(2^x.2^3+2^x=36\)
\(2^x\left(2^3+1\right)=36\)
\(2^x.9=36\)
\(2^x=4\Rightarrow x=2\)
b. \(4^x.4^1-\left(2^2\right)^x=12\)
\(4^x.4-4^x=12\)
\(4^x\left(4-1\right)=12\)
\(4^x.3=12\)
\(4^x=4\)
x = 1
c. \(5^x.5^3-5^x.5^1=3000\)
\(5^x\left(5^3-5^1\right)=3000\)
\(5^x.120=3000\)
\(5^x=25\)
x = 2
d. \(4^{x+1}=2^{2x}\)
\(4^x.4=\left(2^2\right)^x\)
\(4^x.4=4^x\)
Có vẻ như câu 4 này để bài thiếu
`(x+2)-2=0`
`=>x+2=0+2`
`=>x+2=2`
`=>x=2-2`
`=>x=0`
__
`(x+3)+1=7`
`=>x+3=7-1`
`=>x+3=6`
`=>x=6-3`
`=>x=3`
__
`(x+3)+4=12`
`=>x+3=12-4`
`=>x+3=8`
`=>x=8-3`
`=>x=5`
__
`(5x+4)-1=13`
`=>5x+4=13+1`
`=>5x+4=14`
`=>5x=14-4`
`=>5x=10`
`=>x=10:5`
`=>x=2`
__
`(4x-8)+3=12`
`=>4x-8=12-3`
`=>4x-8=9`
`=>4x=9+8`
`=>4x=17`
`=> x=17/4`
__
`3+(x-5)=14`
`=>x-5=14-3`
`=>x-5=11`
`=>x=11+5`
`=>x=16`
a: =>x+50=9/4
hay x=-47,75
b: =>4x-16=(4000+12)x2=8024
=>4x=8040
hay x=2010
a) \(\left(x+50\right):4=3^2\)
\(x+50:4=9\)
\(x+50=4.9\)
\(x+50=36\)
\(x=36-50\)
\(x=-14\)
b) \(\left(4x-16\right):2-\left(-12\right)=4000\)
\(4x-16:2-12.2=4000\)
\(4x-16:2-24=4000\)
\(4x-\left(16+24\right);2=4000\)
\(4x-30:2=4000\)
\(4x-30=4000.2\)
\(4x-30=8000\)
4+8+12+....+4x=840
<=>4.(1+2+3+...+x)=840
<=>1+2+3+...+x=210
<=>x=20
\(\text{4x(3-x)-12=|-4|}\)
\(\Leftrightarrow4.\left(3-x\right)-12=4\)
\(\Leftrightarrow12-4x-12-4=0\)
\(\Leftrightarrow-4-4x=0\)
\(\Leftrightarrow-4\left(1+x\right)=0\)
\(\Leftrightarrow1+x=0\)
\(\Leftrightarrow x=-1\)
Học tốt
4x+(-4)=12
<=>4x-4=12
<=>4x=12+4
<=>4x=16
<=>x=4
\(4x+\left(-4\right)=12\)
\(\Leftrightarrow4x-4=12\)
\(\Leftrightarrow4x=12+4\)
\(\Leftrightarrow x4=16\)
\(\Leftrightarrow x=4\)