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a)\(5^x.\left(5^3\right)^2=625\)
\(5^x.5^6=5^4\)
\(5^x=5^{-2}\)
\(x=-2\)
b)\(27< 81^3:3^x< 243\)
\(3^3< \left(3^4\right)^3:3^x< 3^5\)
\(3^3< 3^{12}:3^x< 3^5\)
\(3^{12}:3^x=3^4\)
\(3^x=3^3\)
\(x=3\)
c)\(\left(5x+1\right)^2=\frac{36}{49}\)
\(\left(5x+1\right)^2=\left(\frac{6}{7}\right)^2\)
\(5x+1=\frac{6}{7}\)
\(5x=\frac{-1}{7}\)
\(x=\frac{-1}{35}\)
d)\(\left(x-\frac{2}{9}\right)^3=\left(\frac{2}{3}\right)^6\)
\(\left(x-\frac{2}{9}\right)^3=\left[\left(\frac{2}{3}\right)^2\right]^3\)
\(x-\frac{2}{9}=\frac{4}{9}\)
\(x=\frac{6}{9}=\frac{2}{3}\)
\(5^x.\left(5^3\right)^2=625\)
\(\Rightarrow5^x.5^6=5^4\)
\(\Rightarrow5^{x+6}=5^4\Rightarrow x+6=4\Rightarrow x=-2\)
Đề sai rồi bạn : Phải là :
\(5^x:\left(5^3\right)^2=625\)
\(\Rightarrow5^x:5^6=5^4\)
\(\Rightarrow5^{x-6}=5^4\)
\(\Rightarrow x-6=4\Rightarrow x=10\)
Nhứng nếu đề đúng thì bạn có thể lấy KQ trên
b, (2x) . (-4x) + 28 = 100
2x . -4x = 100 - 28
-8x2 = 72
x2 = 72 : -8
x2 = -9
=> \(x\in\varphi\)
Chắc z á :v ~
a, 3( x + 2) - 6( x - 5 ) = 2( 5 - 2x )
3x + 6 - 6x + 30 - 10 + 4x = 0
<=> x( 3 - 6 + 4 ) + 6 + 30 - 10 = 0
=> x + 6 + 30 - 10 = 0
=> x= -26
(Từ đề bài)
\(\Rightarrow\)(x-1).(x+3)=(x+2).(x-2)
\(\Rightarrow\)x(x+3)-(x-3)=x.(x-2)+2(x-2)
\(\Rightarrow\)x2+3x-x-3=x2-2x+2x-4
\(\Rightarrow\)x2+2x-3=x2-4
\(\Rightarrow\)x2-x2+2x=3-4
\(\Rightarrow\)2x=-1
\(\Rightarrow x=-\frac{1}{2}\)
Bài 2 :
\(\frac{-7}{6}=\frac{x}{8}\)\(\Rightarrow x=\frac{-7.8}{6}=\frac{-28}{3}\)
\(\frac{-7}{6}=\frac{-98}{y}\)\(\Rightarrow y=\frac{6.\left(-98\right)}{-7}=84\)
\(\frac{-7}{6}=\frac{-14}{z}\)\(\Rightarrow z=\frac{6.\left(-14\right)}{-7}=12\)
\(\frac{-7}{6}=\frac{t}{102}\)\(\Rightarrow t=\frac{\left(-7\right).102}{6}=-119\)
\(\frac{-7}{6}=\frac{u}{-78}\)\(\Rightarrow u=\frac{\left(-7\right).\left(-78\right)}{6}=91\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\frac{x}{2}=\frac{y}{3}=\frac{z}{5}=\frac{x.y.z}{2.3.5}=\frac{-30}{30}=-1\)
\(\Rightarrow\)\(x=-1.2=-2\)
\(\Rightarrow\)\(y=-1.3=-3\)
\(\Rightarrow\)\(z=-1.5=-5\)
\(\dfrac{1+7y}{4x}=\dfrac{1+5y}{5x}=\dfrac{1+3y}{12}\\ \Rightarrow\dfrac{2\left(1+5y\right)}{2\cdot5x}=\dfrac{1+7y}{6x}\\ \Rightarrow\dfrac{2+10y}{10x}=\dfrac{1+7y}{4x}=\dfrac{1+3y}{6x}\)
Vậy \(\dfrac{1+3y}{12}=\dfrac{1+3y}{6x}\Rightarrow12=6x\Rightarrow x=2\)
\(\left|x+1\right|>0;\left|x+2\right|>0;\left|x+3\right|>0\Rightarrow\left|x+1\right|+\left|x+2\right|+\left|x+3\right|>0\Rightarrow4x>0\)
4 > 0 => x > 0 => x + 1 + x + 2 + x + 3 = 4x (phá trị uyệt đối vì x dương)
=> 3x + 6 = 4x => 4x - 3x = 6 => x = 6
hình như đề như này ms đúng :
\(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|=4x\)
có :
\(\hept{\begin{cases}\left|x+1\right|\ge0\\\left|x+2\right|\ge0\\\left|x+3\right|\ge0\end{cases}}\Rightarrow4x\ge0\) \(\Rightarrow x\ge\frac{0}{4}=0\)
\(\Rightarrow\hept{\begin{cases}\left|x+1\right|=x+1\\\left|x+2\right|=x+2\\\left|x+3\right|=x+3\end{cases}}\)
\(\Rightarrow x+1+x+2+x+3=4x\)
\(\Rightarrow3x+6=4x\)
\(\Rightarrow6=4x-3x\)
\(\Rightarrow6=x\)