Question

Which expression is equivalent to log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction?

Answer 1

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 ,

⇒ $Log_1_2(\frac{\frac{1}{2} }{8w} )$

We know that : $Log(\frac{a}{b} )=Log(a)-Log(b)$

⇒ $Log_1_2(\frac{1}{2}) - Log_1_2(8w)$

We know that : $Log(ab) = Log(a)+Log(b)$

⇒ $Log_1_2(\frac{1}{2}) -( Log_1_2(8)+Log_1_2(w))$

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

Answer 2

Answer:

its b

Step-by-step explanation:

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