Q. 10

$$\begin{gathered} 10. Four points z_{1, }{z}_{2, }{z}_{3, }{z}_{4 }in complex plane such that \left|z_1\right|<\frac{3}{5}, \left|z_2\right|=1, \left|z_3\right|\le 1 and z_3 = \frac{z_1 \left(z_1 -z_4\right)}{{\overline{z}}_1{z}_4 -1} . \\ then \left|z_4\right| can be equal to - \\ \left(A\right) {\log }_{5}7 \left(B\right) {\log }_{3}2 \left(C\right) {\log }_{x}e \left(D\right) {\log }_e\mathrm{\pi } \end{gathered}$$