If x and y are positive real numbers such that ` 2log(2y - 3x) = log x + log y," then find the value of " x/y`.

Options

A. `(d^(2)y)/(dx^(2))-2p=0`
B. `(d^(2)y)/(dx^(2))+y=0`
C. `(d^(2)y)/(dx^(2))+(dy)/(dx)=0`
D. `(d^(2)y)/(dx^(2))-(dy)/(dx)=0`

Explanation

`(dy)/(dx)=(-(1)/(p^(2)))/((1)/p)=-(1)/(p)=-y`
`"or "(d^(2)y)/(dx^(2))=-(dy)/(dx)`
`"or "(d^(2)y)/(dx^(2))+(dy)/(dx)=0`