How do you solve log 8 ^ -1/3

Question

log 8 ^ -1/3

 

The answer is log(1/2) = -0.301 . But what are the mathematical steps of how to go from 

 

log 8 ^ -1/3 to log(1/2)

Answer 1

log(8^-1/3) = log[(2³)^-1/3]

 

                   = log(2^-1)

 

                   = log(1/2)

Answer 2

8^-1/3 = 1/8^1/3 = 1/(2³)^1/3 = 1/2   (since 2³ = 2*2*2 = 8)

 

so log(8^-1/3) = log(1/2)