Question

if (16by9)power 5 multiplied by (3by 4) power 6 =( 4 by 3) power x plus 2 .Then find x

Answer 1

$( { \frac{16}{9} })^{5} \times ( { \frac{3}{4} })^{6} = {( \frac{4}{3} })^{x + 2} \\ ( {( { \frac{4}{3}) }^{2} })^{5} \times { (\frac{4}{3} })^{ - 6} = { (\frac{4}{3} })^{x + 2} \\ { (\frac{4}{3} })^{10} \times ( { \frac{4}{3} })^{ - 6} = {( \frac{4}{3} })^{x + 2} \\ { (\frac{4}{3} })^{4} = { (\frac{4}{3} })^{x + 2} \\ comparing \: both \: sides \: we \: get \\ x + 2 = 4 \\ x = 2$