Question

(1/2)^x*(16/17)^x=(3/2)^3

Answer 1

$( frac{1}{2} )^xcdot ( frac{16}{17})^x= frac{27}{8} \ \ frac{2^{-x+4x}}{17^x} =frac{27}{8} \ \ ( frac{8}{17} )^x=frac{27}{8} \ \ x=log_{ frac{8}{17} }frac{27}{8}$