Evaluate log(Base4) ^3sqrt64 (The ^3 is an exponent infront of sqrt 64)

Question

I keep getting wrong answer :|

Answer 1

ahh i think you mean cube root for that ^3sqrt(64). if so,
log(base4) of (cuberoot(64))
note that we can rewrite cuberoot(64) as cuberoot(4^3) which is equal 4.
log(base4) of 4 = 1

hope this helps~ :)

Answer 2

If the base was 2 then it would be cuberoot 2^6?

Answer 3

yes.

Answer 4

log4 (64)^(1/3)

(1/3) log4 (64)

but log 4(64) = log4(4^3)
so
(1/3)(3) log4(4)
but log4(4) = 1
so
answer = 1