Solve for x:
(25)2x−2=323125
From question,
⇒252x−2=2555
⇒252x−2=(25)5 [∵xaya=(xy)a]
⇒(25)2x−2=(25)5
⇒2x−2=5 [∵xa=xb⟹a=b]
⇒2x=5+2=7
⇒x=72
Hence, x=72