Question

(3/7)^x=(49/9)^(1-2x)

Answer 1

$( frac{3}{7}) ^{x} =( frac{49}{9} ) ^{1-2x}\\( frac{3}{7}) ^{x} =[( frac{7}{3}) ^{2} ] ^{1-2x}\\( frac{3}{7}) ^{x} =( frac{7}{3} ) ^{2-4x}\\( frac{3}{7}) ^{x}=( frac{3}{7}) ^{4x-2}\\x= 4x-2\\3x=2 \\x= frac{2}{3}$