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`2^(x+3)+2^x=144`
`2^x *2^3 +2^x =144`
`2^x (8+1)=144`
`2^x *9=144`
`2^x =16`
`2^x =16`
`2^x =2^4`
`=>x=4`
2\(^{x+3}\) + 2\(^x\) = 144
2\(^x\).( 23 + 1) = 144
2\(x\)(8 + 1) = 144
2\(^x\) . 9 = 144
2\(^x\) = 144 : 9
2\(^x\) = 16
2\(^x\) = 24
\(x\) = 4
2n + 3.2n = 144
=> 2n(1 + 3) =144
=> 2n.4 = 144
=> 2n = 36
=> 2n = 25
=> n = 5
\(2^n+3.2^n=144\)
\(=>2^n.\left(1+3\right)=144=>2^n.4=144=>2^n=144:4=36\)
Xem lại đề
Đặt A = 2007 . (144 - 1^2 )...(144 - 12^2)....(144 - 20^2)
= 2007 . (144-1^2)...(144-144)...(144-20^2)
= 2007 (144 - 1^2)....0 ..(144-20^2)
= 0
1)-7264+(1543+7264)=-7264+1543+7264=1543
2)(144-97)-144=144-97-144=-97
3)(-145)-(18-145)=-145-18+145=-18
4)111+(-11+27)=111-11+27=100+27=127
5)(27+514)-(486-73)=27+514-486-73=541-486-73=55-73=-18
6)(36+79)+(145-79-36)=36+79+145-79-36=145
7)10-[12-(-9-1)]=10-[12+9+1]=10-12-9-1=-12
8)(38-29+43)-(43+38)=38-29+43-43-38=-29
9)271-[(-43)+271-(-17)]=271-[-43+271+17]=271+43-271-17=43-17=26
10)-144-[29-(+144)-(+144)]=-144-[29-144-144]=-144-29+144+144=-29+144=115
\(2^x+2^{x+3}=144\)
\(\Rightarrow2^x+2^x.2^3=144\)
\(\Rightarrow2^x.\left(1+2^3\right)=144\)
\(\Rightarrow2^x.9=144\)
\(\Rightarrow2^x=144:9\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
Vậy x = 4
_Chúc bạn học tốt_
\(2^x+2^{x+3}=144\)
\(\Leftrightarrow2^x+2^x\cdot2^3=144\)
\(\Leftrightarrow2^x+2^x\cdot8=144\)
\(\Leftrightarrow2^x\left(1+8\right)=144\)
\(\Leftrightarrow2^x\cdot9=144\)
\(\Leftrightarrow2^x=144:9\)
\(\Leftrightarrow2^x=16\)
\(\Leftrightarrow2^x=2^4\)
\(\Leftrightarrow x=4\)
Vậy x=4