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

Sagot :

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].

Learn more about "Expression" here:

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Answer:

The correct option is B.

Step-by-step explanation: