Does anyone know who to express log √(x^4 / yz) in terms of sums and differences of logarithms?

Question

Does anyone know who to express log √(x^4 / yz) in terms of sums and differences of logarithms

Answer 1

First it would be(1/2)log(x^4/yz)=(1/2)[4log(x)-log(y)-log(z)]

Answer 2

log a - log b = log (a/b) log√( x^4 / yz) = log ( √(x^4) / √(yz) = log √(x^4) - log √(yz) = log x^2 - log√( yz) = log x^2 - 1/2log(yz)

Answer 3

log(sqrt(x^4/(yz)))
log((x^4/(yz))^(1/2))
(1/2)log((x^4)/(yz))
(1/2)(log(x^4) - log(yz))
(1/2)(log(x^4) - (log(y) + log(z)))
(1/2)(log(x^4) - log(y) - log(z)
(1/2)log(x^4) - (1/2)log(y) - (1/2)log(z)
2log(x) - (1/2)log(y) - (1/2)log(z)