question_answer

If \[\frac{\sqrt{\sqrt{\sqrt{\sqrt{{{5}^{x-4}}-{{8.7}^{x-6}}-8}}}}}{{{\left( {{2}^{x+2}}-{{3}^{x-6}}-{{10}^{x-5}} \right)}^{\frac{3}{8}}}{{15}^{\frac{-5}{4}}}}={{(3375)}^{\frac{1}{3}}},\] then find the value of x.

A)  6                                

B)  8

C)  9                                

D)  10

E)  None of these