Statement-I : $\left(\frac{\mathrm{x}-\mathrm{y}}{\mathrm{x}}\right)+\frac{1}{2}{\left(\frac{\mathrm{x}-\mathrm{y}}{\mathrm{x}}\right)}^2+\frac{1}{3}{\left(\frac{\mathrm{x}-\mathrm{y}}{\mathrm{x}}\right)}^3+\dots \dots ={\log }_{\mathrm{e}}\mathrm{x}-{\log }_{\mathrm{e}}\mathrm{y}$

Statement-II : $\left(\mathrm{a}-1\right)-\frac{{(\mathrm{a}-1)}^2}{2}+\frac{{(\mathrm{a}-1)}^3}{3}-\frac{{(\mathrm{a}-1)}^4}{4}+\dots ={\log }_{\mathrm{e}}\mathrm{a}$

Which of the above statements true