question_answer

Find the value of \[x\] such that \[{{\left( \frac{64}{125} \right)}^{2}}{{\left( \frac{4}{5} \right)}^{4}}{{\left( \frac{16}{25} \right)}^{2x+1}}={{\left( \frac{256}{625} \right)}^{3x}}\]

A)  \[\frac{3}{2}\] 

B)  \[\frac{2}{5}\]

C)  \[\frac{1}{3}\]                         

D)  \[\frac{1}{2}\]

E)  None of these