Question

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

Answer 1

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