Answer :
The expression that could be considered equivalent to log Subscript 12 Baseline (Start Fraction one-half Over 8 w End Fraction would be)
[tex]\rm log_{12}\dfrac{1}{2}-(log_{12}(8)+log_{12}(w))\\\\[/tex].
The correct option is B.
Given
Expression; [tex]log_{12}\left ( \dfrac{\frac{1}{2}}{8w}}\right)[/tex]
Logarithmic expression;
A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.
By using the following logarithmic property;
[tex]\rm log(\dfrac{a}{b})=loga-logb[/tex]
Apply the property in the given expression;
[tex]\rm =log_{12}\left ( \dfrac{\frac{1}{2}}{8w}}\right)\\\\=log_{12}\dfrac{1}{2}-log_{12}(8w)\\\\=\rm log_{12}\dfrac{1}{2}-(log_{12}(8)+log_{12}(w))\\\\[/tex]
Hence, The expression that could be considered equivalent to log Subscript 12 Baseline is [tex]\rm log_{12}\dfrac{1}{2}-(log_{12}(8)+log_{12}(w))\\\\[/tex].
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Answer:
The correct option is B.
Step-by-step explanation: