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\(\frac{1}{2}\cdot2^x+2^x\cdot2^2=2^8+2^5\)
\(2^x\left(\frac{1}{2}+4\right)=2^8+2^5\)
\(2^x\cdot\frac{9}{2}=288\)
\(2^x=64\)
\(2^x=2^6\)
\(x=6\)
\(9^x:3^x=3^7\)
\(3^{2x}:3^x=3^7\)
\(3^x=3^7\)
\(x=7\)
\(7^{x+2}+2\cdot7^{x-1}=345\)
\(7^x\cdot7^2+2\cdot7^x:7=345\)
\(7^x\left(7^2+\frac{2}{7}\right)=345\)
\(7^x\cdot\frac{345}{7}=345\)
\(7^x=7\)
\(x=1\)
a) 1/2.2^x + 2^x+2 = 256 + 32
1/2.2^x + 2^2.2^x=288
2^x(1/2+4)= 288
2^x.4,5=288
2^x= 288:4,5
2^x=64=2^6
x=6
Đặt A=1+2+22+23+…+220
=>2.A=2+22+23+24+…+221
=>2.A-A=2+22+23+24+…+221-1-2-22-23-…-220
=>A=221-1
Vậy 1+2+22+23+…+220=221-1
(x+1)+(x+2)+(x+3)+…+(x+100)=5750
=>x+1+x+2+x+3+…+x+100=5750
=>(x+x+x+…+x)+(1+2+3+…+100)=5750
Từ 1 đến 100 có:(100-1):1+1=100(số)
=>100.x+(100+1).100:2=5750
=>100.x+101.50=5750
=>100.x+5050=5750
=>100.x=5750-5050
=>100.x=700
=>x=7
Vậy x=7
\(\frac{1}{2}x+\frac{3}{5}x=-\frac{2}{5}\\ x\left(\frac{1}{2}+\frac{3}{5}\right)=-\frac{2}{5}\\ x.\frac{11}{10}=-\frac{2}{5}\\ x=-\frac{4}{11}\)
\(\frac{1}{2}x+\frac{3}{5}x=\frac{-2}{5}\)
\(\left(\frac{1}{2}+\frac{3}{5}\right)x=\frac{-2}{5}\)
\(\frac{11}{10}x=\frac{-2}{5}\)
\(x=\frac{-2}{5}:\frac{11}{10}\)
\(x=-\frac{4}{11}\)
\(x+1⋮x-1\)
\(x-1+2⋮x-1\)
\(2⋮x-1\)hay \(x-1\inƯ\left(2\right)=\left\{\pm1;\pm2\right\}\)
x - 1 | 1 | -1 | 2 | -2 |
x | 2 | 0 | 3 | -1 |
\(x-2⋮x+1\)
\(x+1-3⋮x+1\)
\(-3⋮x+1\)thự hiện tương tự nhé !
\(2^x.4^2-2^{x+1}=2^6-2^3\)
\(2^x.2^4-2^x.2=2^2.\left(2^4-2\right)\)
\(2^x.\left(2^4-2\right)=2^2.\left(2^4-2\right)\)
\(2^x.14=2^2.14\)
\(\Rightarrow2^x=2^2\)
\(\Rightarrow x=2\)
Vậy \(x=2\)
\(3^{50}=\left(3^5\right)^{10}=243^{10}\)
\(5^{30}=\left(5^3\right)^{10}=125^{10}\)
Ta có: \(125< 243\)
\(\Rightarrow125^{10}< 243^{10}\)
\(\Rightarrow3^{50}< 5^{30}\)
\(a)\frac{2}{3}x-\frac{1}{2}=\frac{5}{12}\)
\(\Rightarrow\frac{2}{3}x=\frac{5}{12}+\frac{1}{2}=\frac{11}{12}\)
\(\Rightarrow x=\frac{11}{12}:\frac{2}{3}=\frac{11}{8}\)
\(b)\left(2\frac{4}{5}x-50\right):\frac{2}{3}=51\)
\(\Rightarrow\frac{14}{5}x-50=51.\frac{2}{3}=34\)
\(\Rightarrow\frac{14}{5}x=34+50=84\)
\(\Rightarrow x=84:\frac{14}{5}=30\)
a) 2/3.x - 1/2 = 5/12
2/3.x = 5/12 + 1/2
2/3.x = 11/12
x = 11/12 : 2/3
x = 11/8
b) \(\left(2\frac{4}{5}.x-50\right):\frac{2}{3}=51\)
\(\frac{14}{5}.x-50=51.\frac{2}{3}\)
\(\frac{14}{5}.x-50=34\)
\(\frac{14}{5}.x=34+50\)
\(\frac{14}{5}.x=84\)
\(x=84:\frac{14}{5}\)
\(x=30\)
\(\Leftrightarrow2\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{x\left(x+1\right)}\right)=\frac{2008}{2010}\)
\(\Leftrightarrow2\left(\frac{3-2}{2.3}+\frac{4-3}{3.4}+\frac{5-4}{4.5}+...+\frac{\left(x+1\right)-x}{x\left(x+1\right)}\right)=\frac{2008}{2010}\)
\(\Leftrightarrow2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2008}{2010}\)
\(\Leftrightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{1004}{2010}\)
\(\Leftrightarrow\frac{1}{x+1}=\frac{1}{2010}\)
\(\Leftrightarrow x+1=2010\)
\(\Leftrightarrow x=2009\)
tìm x biết
a, \(|2\cdot x-3|+5=x\)
b, \(2\cdot|x-2|-x=1\)
làm nhanh đúng nhé = 2like
làm ơn giúp mình đi
b)
+)x>=2 được
2(x-2)-x=1
=>2x-4-x=1
=>x=5
+)x<2 được
2(2-x)-x=1
=>4-2x-x=1
=>4-3x=1
=>3x=3
=>x=1
Vậy có 2 giá trị là 5;1
\(\left|2x-3\right|+5=x\)
\(\left|2x-3\right|=x-5\)
Xét hai trường hợp :
TH1: \(x\le\frac{3}{2}\)=> không có giá trị thỏa mãn
th2: \(x\ge\frac{3}{2}\)=> không có giá trị thỏa mãn
b) Tương tự
\(\Rightarrow2^x\times\left(2^0+2^1+2^2+2^3\right)=480\)
\(\Rightarrow2^x\times15=480\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
TA có
480=\(2^5+2^6+2^7+2^8\)
\(x+x+1+x+2+x+3=5+6+7+8\)
\(4x+6=26\)
\(x=5\)
2x+2+2x-1+2x-2=152
<=> 2x.4+2x:2+2x:4=152
<=> 2x.4+2x:(2+4)=152
<=> 2x:1/4+2x:6=152
<=> 2x:(1/4+6)=152
<=> 2x:25/4=152
<=> 2x=950
<=> x=..