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Ta có: \(5^x\cdot5^{x-1}=125\)
\(\Leftrightarrow5^x\cdot\dfrac{5^x}{5}=125\)
\(\Leftrightarrow25^x=625\)
hay x=2
a: \(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{3}{4}=\dfrac{1}{5}\\x-\dfrac{3}{4}=-\dfrac{1}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{19}{20}\\x=\dfrac{11}{20}\end{matrix}\right.\)
\(a,\left|x-\dfrac{3}{4}\right|=\dfrac{1}{5}\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{3}{4}=\dfrac{1}{5}\\x-\dfrac{3}{4}=\dfrac{-1}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{19}{20}\\x=\dfrac{11}{20}\end{matrix}\right.\)
\(b,\dfrac{-1}{3}+\left|x\right|=0,5\)
\(\Leftrightarrow\left|x\right|=\dfrac{5}{6}\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{6}\\x=\dfrac{-5}{6}\end{matrix}\right.\)
Tính chất dãy tỉ số bằng nhau:
\(\frac{x}{3}=\frac{y}{5}=\frac{x^2-y^2}{3^2-5^2}=\frac{-4}{-16}=\frac{1}{4}\)
\(\Rightarrow\hept{\begin{cases}\frac{x}{3}=\frac{1}{4}\Rightarrow x=\frac{3}{4}\\\frac{y}{5}=\frac{1}{4}\Rightarrow y=\frac{5}{4}\end{cases}}\)
\(\dfrac{3}{x-2}=\dfrac{-2}{x-4}\left(dk:x\ne2;x\ne4\right)\)
\(\Rightarrow3\cdot\left(x-4\right)=-2\cdot\left(x-2\right)\)
\(\Rightarrow3x-12=-2x+4\)
\(\Rightarrow3x+2x=4+12\)
\(\Rightarrow5x=16\)
\(\Rightarrow x=\dfrac{16}{5}\left(tm\right)\)
\(ĐK:x\ne2;x\ne4\\ Có:\dfrac{3}{x-2}=\dfrac{-2}{x-4}\\ \Leftrightarrow3\left(x-4\right)=-2\left(x-2\right)\\ \Leftrightarrow3x-12=-2x+4\\ \Leftrightarrow3x+2x=4+12\\ \Leftrightarrow5x=16\\ \Leftrightarrow x=\dfrac{16}{5}\left(TM\right)\\ Vậy:x=\dfrac{16}{5}\)
|-175| hoặc |175|
\(=>\hept{\begin{cases}x=-175\\x=175\end{cases}}\)
vậy x= -175 : x =175