ĐKXĐ: \(x>\dfrac{1}{5}\), \(m>0\)
\(log_{3^2}x^2-log_3\left(5x-1\right)=-log_3m\)
\(\Leftrightarrow2.\dfrac{1}{2}.log_3x-log_3\left(5x-1\right)=-log_3m\)
\(\Leftrightarrow log_3\dfrac{x}{5x-1}=log_3\dfrac{1}{m}\)
\(\Rightarrow\dfrac{x}{5x-1}=\dfrac{1}{m}\Rightarrow m=\dfrac{5x-1}{x}=5-\dfrac{1}{x}< 5\)
Pt có nghiệm khi \(0< m< 5\)