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

The expression that could be considered equivalent to logSubscript 12 Baseline (StartFraction one-half Over 8 w EndFraction would be:

B). log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w) or  

Given that,

Using the expression,

We get,

Using expression

∵

Thus, option B is the correct answer.

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correct option is B) log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)

Step-by-step explanation:

Here we need to simplify a logarithmic expression and find which expression is equivalent to it . Let's find out:

We have ,

log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction) or ,

⇒

We know that :

⇒

We know that :

⇒

Therefore , correct option is B) log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)

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step-by-step explanation: