Question

√( √(√2^x ))) = 512
then find value of x =??

Answer 1

hai friend,
here is your answer,
√(√(√(2^x)))
=(2^x)^1/8
=2^x/8=512

=2^x/8=2^9
=x/8=9. [a^m =a^n <=>m=n]
=x=72


hope helped :)

Answer 2

(a^m)^n =a^mn

Root2 = 2^1/2
root(root(root(2^x)))=512

(((2^x)1/2)1/2)1/2=2^9

2^x/8=2^9
x/8=9 here we used "if a^m=a^n then m=n
x=9*8
x=72