robert7248
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If [tex]log_{2}[/tex] P = x, [tex]log_{2}[/tex] Q = y, and [tex]log_{2}[/tex] R = z, write in term of x, y, z.


[tex]log_{2} \frac{\sqrt{R} }{y=PQ^{3} }[/tex]

Respuesta :

Ashraf82

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]

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