Which expression is equivalent to log sub 12 of open bracket 1 half over 8 w close bracket ?

Use the quotient rule: log₁₂((1/2)/(8w)) = log₁₂(1/2) − log₁₂(8w). Then use the product rule to expand log₁₂(8w) as log₁₂(8) + log₁₂(w). So the expression is log₁₂(1/2) − (log₁₂(8) + log₁₂(w)), which is choice B.

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