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\(3^x+3^{x+2}=270\)
\(\Rightarrow3^x+3^x.3^2=270\)
\(\Rightarrow3^x\left(1+3^2\right)=270\)
\(\Rightarrow3^x.10=270\)
\(\Rightarrow3^x=27\)
\(\Rightarrow3^x=3^3\)
\(\Rightarrow x=3\)
Vậy x = 3
c) \(\left|x-1\right|=3\)
\(\Rightarrow\left[\begin{matrix}x-1=3\\x-1=-3\end{matrix}\right.\Rightarrow\left[\begin{matrix}x=4\\x=-2\end{matrix}\right.\)
Vậy \(x\in\left\{4;-2\right\}\)
a ) \(3^x+3^{x+2}=270\)
\(\Leftrightarrow3^x.1+3^x.3^2=270\)
\(\Leftrightarrow3^x.\left(1+3^2\right)=270\)
\(\Leftrightarrow3^x=27\)
\(\Leftrightarrow x=3\)
Vậy x = 3.
b ) \(\left|2x+1\right|+\left|x-3\right|=5\)
\(\Leftrightarrow\left|2x+1\right|+\left|3-x\right|=5\)
\(\Leftrightarrow\left|2x+1+3-x\right|=5\)
\(\Leftrightarrow\left|x+4\right|=5\)
\(\Leftrightarrow x=1\)
Vậy x = 1. ( không chắc lắm )
c ) \(\left|x-1\right|=3\)
\(\Leftrightarrow\left[\begin{matrix}x-1=3\\x-1=-3\end{matrix}\right.\Leftrightarrow\left[\begin{matrix}x=4\\x=-2\end{matrix}\right.\)
Vậy x = 4 và x = -2.
Bài 1:
1. \(\left(\frac{1^5}{2}\right):\left(\frac{1^8}{2}\right)\)\(=\frac{1^5:1^8}{2:2}=\frac{1}{1}=1.\)
Mình chỉ làm bài 1 thôi nhé.
Chúc bạn học tốt!
a ) \(\left(\frac{2}{5}-x\right):1\frac{1}{3}+\frac{1}{2}=-4\)
\(\left(\frac{2}{5}-x\right):\frac{4}{3}+\frac{1}{2}=-4\)
\(\left(\frac{2}{5}-x\right):\frac{4}{3}=-4-\frac{1}{2}\)
\(\left(\frac{2}{5}-x\right):\frac{4}{3}=-\frac{9}{2}\)
\(\frac{2}{5}-x=-\frac{9}{2}.\frac{4}{3}\)
\(\frac{2}{5}-x=-3\)
\(x=\frac{2}{5}-\left(-3\right)\)
\(x=\frac{2}{5}+3\)
\(x=\frac{3}{5}-\frac{15}{5}\)
\(x=-\frac{12}{5}\)
Vay \(x=-\frac{12}{5}\)
b ) \(\left(-3+\frac{3}{x}-\frac{1}{3}\right):\left(1+\frac{2}{5}+\frac{2}{3}\right)=-\frac{5}{4}\)
\(\left(-3+\frac{3}{x}-\frac{1}{3}\right):\left(\frac{15}{15}+\frac{6}{15}+\frac{10}{15}\right)=-\frac{5}{4}\)
\(\left(-3+\frac{3}{x}-\frac{1}{3}\right):\left(\frac{15+6+10}{15}\right)=-\frac{5}{4}\)
\(\left(-3+\frac{3}{x}-\frac{1}{3}\right):\frac{31}{15}=-\frac{5}{4}\)
\(\left(-3+\frac{3}{x}-\frac{1}{3}\right)=-\frac{5}{4}.\frac{31}{15}\)
\(\left(-3+\frac{3}{x}-\frac{1}{3}\right)=-\frac{1}{4}.\frac{31}{3}\)
\(-3+\frac{3}{x}-\frac{1}{3}=-\frac{31}{12}\)
\(-3+\frac{3}{x}=-\frac{31}{12}+\frac{1}{2}\)
\(-3+\frac{3}{x}=-\frac{31}{12}+\frac{6}{12}\)
\(-3+\frac{3}{x}=\frac{-25}{12}\)
\(\frac{3}{x}=\frac{-25}{12}+3\)
\(\frac{3}{x}=\frac{-25}{12}+\frac{36}{12}\)
\(\frac{3}{x}=\frac{5}{6}\)
\(\frac{18}{6x}=\frac{5x}{6x}\)
Đèn dây , bạn tự làm tiếp nhé , de rồi chứ
Bài 1
\(a,\left|x\right|=-\left|-\frac{5}{7}\right|=>x\in\varnothing\)
\(b,\left|x+4,3\right|-\left|-2,8\right|=0\)
\(=>\left|x+4,3\right|-2,8=0\)
\(=>\left|x+4,3\right|=0+2,8=2,8\)
\(=>x+4,3=\pm2,8\)
\(=>\hept{\begin{cases}x+4,3=2,8\\x+4,3=-2,8\end{cases}=>\hept{\begin{cases}x=-1,5\\x=-7,1\end{cases}}}\)
\(c,\left|x\right|+x=\frac{2}{3}\)
\(=>\hept{\begin{cases}x+x=\frac{2}{3}\\-x+x=\frac{2}{3}\end{cases}}=>\hept{\begin{cases}x=\frac{1}{3}\\x=-\frac{1}{3}\end{cases}}\)
a)15-3 x (x+2)=-21
3 x (x +2)=15-(-21)=36
x+2=36/3=12
x=12-2
x=10
b)\(\left(x-2\right).2=\left(x+3\right).3\)
\(\left(x+1\right).2=3\)
\(x+1=6\)
\(x=6-1=5\)
a) 15-3(x+2)=-21
3(x+2)=15-(-21)=36
x+2=12
x=10
b) \(\frac{x-2}{3}=\frac{x+3}{2}\)
=>2(x-2)=3(x+3)
=>2x-4=3x+9
=>3x-2x=-4-9
=>x=-13
a) 3x + 1 + 3x + 3 = 270
=> 3x .3 + 3x . 27 = 270
=> 3x .(3 + 27) = 270
=> 3x .30 = 270
=> 3x = 270 : 30
=> 3x = 9
=> 3x = 32
=> x = 2
b) 5x + 4.5x + 1 = 2625
=> 5x + 4.5x.5 =2625
=> 5x.(1 +20) = 2625
=> 5x .21 = 2625
=> 5x = 2625 : 21
=> 5x = 125
=> 5x = 53
=> x = 3