Question

find the value of x (4/9)x × (3/2)-1 =8/27

Answer 1

I hope. this will help you

Answer 2

${ (\frac{4}{9}) }^{x} \times {( \frac{3}{2} })^{ - 1} = \frac{8}{27} \\ ({ \frac{ {(2)}^{2} }{ {(3)}^{2} } })^{x} \times \frac{2}{3} = \frac{ {2}^{3} }{ {3}^{3} } \\ ({ \frac{2}{3} })^{2x} \times ({ \frac{2}{3} })^{1} = ({ \frac{2}{3} })^{3} \\ 2x + 1 = 3 \\ 2x = 2 \\ x = \frac{2}{2} = 1$