What is the expanded form of $ \log_{3}(16y^3) $?

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26. What is the expanded form of $ \log_{3}(16y^3) $? a. 3 + 4 \log_{3}(y) b. 4 + \log_{3}(3y) c. 16 + 8 \log_{3}(y) d. 4 + 3 \log_{3}(y)

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Answer: d. 4 + 3 \log_{3}(y)Explanation: Using the properties of logarithms, $ \log_{3}(16y^3) = \log_{3}(16) + \log_{3}(y^3) $. This simplifies to $ \log_{3}(2^4) + 3\log_{3}(y) = 4\log_{3}(2) + 3\log_{3}(y) $. Since $ \log_{3}(2^4) = 4 $, the expanded form is $ 4 + 3\log_{3}(y) $.

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What is the expanded form of \( \log_{3}(16y^3) \)?

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