( 2-x ) 2 = 1024
\(2^{x}+2^{x+2}+2^{x+4}=1024\)
\(2^x+2^{x+2}+2^{x+4}=1024\)
=>\(2^x\left(1+2^2+2^4\right)=1024\)
=>\(2^x=\dfrac{1024}{21}\)
=>\(x=log_2\left(\dfrac{1024}{21}\right)\)
\(2^x+2^{x+2}+2^{x+4}=1024\\\Rightarrow 2^x+2^x\cdot2^2+2^x\cdot2^4=1024\\\Rightarrow 2^x\cdot(1+2^2+2^4)=1024\\\Rightarrow 2^x\cdot(1+4+16)=1024\\\Rightarrow 2^x\cdot21=1024\\\Rightarrow 2^x=\dfrac{1024}{21}\)
\(\Rightarrow \) Bạn xem lại đề bài!
Tìm x: \(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{8}-\dfrac{1}{16} +...-\dfrac{1}{1024}=\dfrac{x}{1024}\)
\(\dfrac{x}{1024}=\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{8}-\dfrac{1}{16}+...-\dfrac{1}{1024}\)
\(\dfrac{2x}{1024}=1-\dfrac{1}{2}+\dfrac{1}{4}-\dfrac{1}{8}+...-\dfrac{1}{512}\)
\(\Rightarrow\dfrac{x}{1024}+\dfrac{2x}{1024}=1-\dfrac{1}{1024}\)
\(\Rightarrow\dfrac{3x}{1024}=\dfrac{1023}{1024}\)
\(\Rightarrow3x=1023\)
\(\Rightarrow x=341\)
Lời giải:
$\frac{x}{1024}=\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}+...-\frac{1}{1024}$
$\frac{2x}{1024}=1-\frac{1}{2}+\frac{1}{4}-\frac{1}{8}+...-\frac{512}$
$\Rightarrow \frac{x}{1024}+\frac{2x}{1024}=1-\frac{1}{1024}$
$\frac{3x}{1024}=\frac{1023}{1024}$
$\Rightarrow 3x=1023$
$\Rightarrow x=341$
Tìm x, biết:
(-2)x+1+(-2)x=-1024
\((-2)^{x+1}+(-2)^x=-1024\\\Rightarrow (-2)^x\cdot2+(-2)^x=-1024\\\Rightarrow(-2)^x\cdot(2+1)=-1024\\\Rightarrow (-2)^x\cdot3=-1024\\\Rightarrow(-2)^x=\dfrac{-1024}{3}\)
Bạn xem lại đề nhé!
1.<,>,= ?
256 x 6.....512 x 3
512 x 3.....256 x 6
999 x 2.....1000
512 x 5.....1024
1024.....512 x 5
1024.....512 x 2
512.....256 x 2
256.....128 x 2
128.....64 x 2
64.....32 x 2
32.....16 x 2
256 x 6=512 x 3
512 x 3=256 x 6
999 x 2>1000
512 x 5>1024
1024<512 x 5
1024=512 x 2
512=256 x 2
256=128 x 2
128=64 x 2
64=32 x 2
32=16 x 2
2^x+2^y+2^z=1024
Cho x,y thuộc N*. Tìm x,y biết: 2^x - 2^y = 1024
1024 : 17 x 2 mũ 5 + 15 x 2 mũ 5
Trả lời
1024:17.25+15.25
=1024:[25.(17+15)]
=1024:32.32
=1024
Ko chắc !
10 + 2 . x = 1024 : 64
\(...\Rightarrow2x=16-10\Rightarrow2x=6\Rightarrow x=3\)
2 mũ x nhân 16 mũ 2 = 1024
\(2^x.16^2=1024\)
\(2^x=1024:16^2\)
\(2^x=1024:256\)
\(2^x=4\)
\(2^x=2^2\)
\(\Rightarrow x=2\)
vay \(x=2\)
2x . 162 = 1024
\(\Rightarrow\)2x . 256 = 1024
\(\Rightarrow\)2x = 1024 : 256 = 4
\(\Rightarrow\)2x = 22
\(\Rightarrow\)x = 2