Answer:
B) [tex]\frac{9}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5^{x} }{3^{2x} } = \frac{1}{7} \\\\\frac{5^{x} }{9^{x} } =\ \frac{1}{7} \\\\\\(\frac{5}{9}) }^{x} = 7^{-1} \\\\\\(\frac{5}{9}) }^{x}= 7\\\\7^{\frac{1}{x} } = ((\frac{9}{5}) }^{x})^{\frac{1}{x}}\\\\7^{\frac{1}{x} } = \frac{9}{5} }[/tex]
Correct choice is B
