Find the value of x if 8256=(x5)6
2
8
16
4
We know that 8=23
82=(23)2=26 [∵(am)n=amn]
8256=2656=(25)6 [∵ambm=(ab)m]
Given that, 8256=(x5)6
⇒(25)6=(x5)6
⇒25=x5
⇒x=2