Question

If formula"> P = x, $log_{2}$ Q = y, and $log_{2}$ R = z, write in term of x, y, z.
$log_{2} \frac{\sqrt{R} }{y=PQ^{3} }$

Answer 1

Answer:

The answer is (1/2)z - x - 3y

Step-by-step explanation:

∵ $log_{2}P=x$

∵ $log_{2}Q=y$

∵ $log_{2}R=z$

∵ $log_{2}\frac{R^{\frac{1}{2}}}{(P)(Q^{3})}$

∴ $log_{2}(R)^{\frac{1}{2}}-log_{2}P-log_{2}(Q^{3})$

∴ $\frac{1}{2}log_{2}R-log_{2}P-3log_{2}Q$

∴ $\frac{1}{2}z-x-3y$