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\(\Leftrightarrow\dfrac{7^x.7^2+7^x.7+7^x}{57}=\dfrac{5^{2x}+5^{2x}.5+5^{2x}.5^3}{131}\)
\(\Leftrightarrow7^x\left(\dfrac{7^2+7+1}{57}\right)=5^{2x}\left(\dfrac{1+5+5^3}{131}\right)\)
\(\Leftrightarrow7^x\dfrac{57}{57}=5^{2x}\dfrac{131}{131}\Leftrightarrow7^x=5^{2x}\Leftrightarrow7^x=25^x\Leftrightarrow x=0\)
Ta có: \(\frac{x-3}{x+5}=\frac{5}{7}\)
\(\Rightarrow7.\left(x-3\right)=5.\left(x+5\right)\)
\(\Rightarrow7x-21=5x+25\)
\(\Rightarrow7x-5x=21+25=46\)
\(\Rightarrow2x=46\)
\(\Rightarrow x=46:2=23\)
Vậy x = 23
Ủng hộ mik nha!
a) Ta có: \(\left(x-3\right)\left(x+4\right)>0\)
Nếu: \(\hept{\begin{cases}x-3>0\\x+4>0\end{cases}}\Leftrightarrow\hept{\begin{cases}x>3\\x>-4\end{cases}}\Rightarrow x>3\)
Nếu: \(\hept{\begin{cases}x-3< 0\\x+4< 0\end{cases}}\Leftrightarrow\hept{\begin{cases}x< 3\\x< -4\end{cases}}\Rightarrow x< -4\)
Vậy \(\orbr{\begin{cases}x>3\\x< -4\end{cases}}\)
b) Ta có: \(\left|\frac{5}{7}x-4\right|< \frac{2}{7}\)
\(\Leftrightarrow-\frac{2}{7}< \frac{5}{7}x-4< \frac{2}{7}\)
\(\Leftrightarrow\frac{26}{7}< \frac{5}{4}x< \frac{30}{7}\)
\(\Leftrightarrow\frac{104}{35}< x< \frac{24}{7}\)
\(\left(\dfrac{3}{5}\right)^5.x=\left(\dfrac{3}{7}\right)^7\)
\(x=\left(\dfrac{3}{7}\right)^7:\left(\dfrac{3}{5}\right)^5\)
\(x=\dfrac{3^7}{7^7}\times\dfrac{5^5}{3^5}=\dfrac{3^7.5^5}{7^7.3^5}=\dfrac{9.5^5}{7^7}\)
tick mị nhé