0\\\\9\cdot 7^{x}>49\cdot 3^{x}\; \; \Big |:(3^{x})>0\\\\\frac{9\cdot 7^{x}}{3^{x}}>49\; \Big |:9\\\\\frac{7^{x}}{3^{x}}>\frac{49}{9}\\\\\Big (\frac{7}{3}\Big )^{x}>\Big (\frac{7}{3}\Big )^2\; \; \; \Rightarrow \; \; \; \boxed {\; x>2\; }" alt="9\cdot 7^{x}-49\cdot 3^{x}>0\\\\9\cdot 7^{x}>49\cdot 3^{x}\; \; \Big |:(3^{x})>0\\\\\frac{9\cdot 7^{x}}{3^{x}}>49\; \Big |:9\\\\\frac{7^{x}}{3^{x}}>\frac{49}{9}\\\\\Big (\frac{7}{3}\Big )^{x}>\Big (\frac{7}{3}\Big )^2\; \; \; \Rightarrow \; \; \; \boxed {\; x>2\; }" align="absmiddle" class="latex-formula">