Verified answer

log_3(x) – 2 log_3(y) – 4 log_3(z)

log_3(x) – log_3(y^2) – log_3(z^4) ← power rule

log_3(x / (y^2 z^4)) ← quotient rule

matches none of the given choices.

is the original expression correct?

if it was supposed to be

1/2 log_3(x) – 2 log_3(y) – 4 log_3(z)

then

log_3(√(x) / (y^2 z^4))

probably matches the 1st given choice.

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