\(\log_{2} y = 3 - \log_{2} x^{\frac{3}{2}}\) When x = 4, \(\log_{2} y = 3 - \log_{2} 4^{\frac{3}{2}}\) \(\log_{2} y = 3 - \log_{2} 2^{3}\) \(\log_{2} y = 3 - 3 \log_{2} 2 = 3 - 3 = 0\) \(\log_{2} y = 0 \implies y = 2^{0} = 1\)