Question

(64)^x = 2root 2 then x = ––––––––

Answer 1

(64)^x = 2root 2
((8)^2)^x = root 8
8^2x = 8 ^1/2
2x = 1/2
x = 1/4

Answer 2

(64)^x = 2√2

(2^6)^x = 2^3/2
⇒2^6x= 2^3/2[∵a^m =a^n ⇔m=n]
⇒6x=3/2
⇒x=(3/2)*1/6
⇒x=1/4