Question

Which expression is equivalent to log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction?
log Subscript 12 Baseline 8 minus log Subscript 12 Baseline one-half + log Subscript 12 Baseline w
log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
log Subscript 12 Baseline one-half minus log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
log Subscript 12 Baseline one-half divided by log Subscript 12 Baseline 8 + log Subscript 12 Baseline w

Answer 1

Start with log_{12}((1/2)/(8w)) = log_{12}(1/2) − log_{12}(8w) = log_{12}(1/2) − (log_{12}8 + log_{12}w).

So the correct choice is: "log_{12} one-half minus (log_{12} 8 + log_{12} w)".