Giải bất phương trình e^(25-8x)<1

\(\begin{array}{l} \sqrt 5 {.5^x} - {9^x} > \frac{1}{9}{.9^x} - \frac{1}{{\sqrt 5 }}{.5^x}\\ \Leftrightarrow \left( {\sqrt 5 + \frac{1}{{\sqrt 5 }}} \right){.5^x} > \left( {1 + \frac{1}{9}} \right){.9^x}\\ \Leftrightarrow \frac{6}{{\sqrt 5 }}{.5^x} > \frac{{10}}{9}{.9^x} \Leftrightarrow {27.5^x} > 5\sqrt 5 {.9^x}\\ \Leftrightarrow {\left( {\frac{5}{9}} \right)^x} > {\left( {\frac{5}{9}} \right)^2} \Leftrightarrow x > 2 \end{array}\)