If x(dy)/(dx)=y(log y-log x+1) then the solution of the equ-Turito

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Question

If $x fraction numerator d y over denominator d x end fraction equals y left parenthesis log space y minus log space x plus 1 right parenthesis$ then the solution of the equation is :

$\log \frac{x}{y} = c y$
$\log \frac{y}{x} = c y$
$\log \frac{x}{y} = c x$
$\log^{y} = c x$

The correct answer is: $log to the power of y equals c x$

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