log base2 5 square root of 512

use the definition of b^1/n

log base2 512^1/5

Not quite sure what to do after this
Simplfiy.

Note: 512^(1/5) should not be written as 5 square root as that is too confusing. Square root means the (1/2) exponent.

log base2 ( 512^(1/5) )

= (1/5)log base2 (512)
= (1/5)log base2 (2^9)