Question

9power4 x / 3power2x = 2187

Answer 1

$\huge \bf \frac{ {9}^{(4x)} }{ {3}^{(2x)} } = 2187 \\ \\ = > \sf \frac{ { \big[ {(3)}^{2} \big]}^{4x} }{ {(3)}^{2x} } = 2187 \\ \\ = > \sf \frac{ {(3)}^{8x} }{ {(3)}^{2x} } = {(3)}^{7} \\ = > \sf { \cancel{(3)}}^{8x - 2x} = { \cancel{(3)}}^{7} \\ = > \sf \: \: \: \: \: \: \: \: \: \: \: 5x = 7 \\ \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \sf x = \red{ \frac{7}{5} }}$