Math  /  Algebra

QuestionUse properties of logarithms to expand each logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible. log4(4y)log4(4y)=\begin{array}{c} \log _{4}\left(\frac{4}{y}\right) \\ \log _{4}\left(\frac{4}{y}\right)= \end{array} \square

Studdy Solution
Substitute the simplified value back into the expression:
1log4(y)1 - \log_{4}(y)
This is the expanded form of the logarithmic expression.
The expanded expression is:
1log4(y)\boxed{1 - \log_{4}(y)}

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