question_answer

If \[{{(2.5)}^{x}}={{(0.025)}^{y}}={{10}^{3}},\] find the value of \[\frac{1}{x}-\frac{1}{y}.\]

A)  \[\frac{3}{2}\]                         

B)  \[\frac{1}{3}\]

C)  \[\frac{5}{3}\]                         

D)  \[\frac{2}{3}\]

E)  None of these