If log_(2) P = x, log_(2) Q = y, and log_(2) R = z, write in term of x, y, z. log_(2) (P^(2) Q)/(R^(3) )

Question

If
`log_(2)` P = x,
`log_(2)` Q = y, and
`log_(2)` R = z, write in term of x, y, z.


`log_(2) (P^(2) Q)/(R^(3) )`

Answer 1

The answer is 2x + y - 3z

Explanation:

∵
`log_(2)P=x`

∵
`log_(2)Q=y`

∵
`log_(2)R=z`

∵
`log_(2)(P^(2)Q)/(R^(3)) =`

`log_(2)P^(2)+log_(2)Q-log_(2)R^(3) =`

`2log_(2)P+log_(2)Q-3log_(2)R`

∴ 2x + y - 3z