Answer:
The answer is (1/2)z - x - 3y
Step-by-step explanation:
∵ [tex]log_{2}P=x[/tex]
∵ [tex]log_{2}Q=y[/tex]
∵ [tex]log_{2}R=z[/tex]
∵ [tex]log_{2}\frac{R^{\frac{1}{2}}}{(P)(Q^{3})}[/tex]
∴ [tex]log_{2}(R)^{\frac{1}{2}}-log_{2}P-log_{2}(Q^{3})[/tex]
∴ [tex]\frac{1}{2}log_{2}R-log_{2}P-3log_{2}Q[/tex]
∴ [tex]\frac{1}{2}z-x-3y[/tex]
