Precalculus
posted by Jake on .
Evaluate log(Base4) ^3sqrt64 (The ^3 is an exponent infront of sqrt 64)
I keep getting wrong answer :

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

yes.

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