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Use the power rule to rewrite the expression \( \log k^{3} \) ? Provide your answer below:

Ask by O'Quinn Huang. in the United States
Mar 01,2025

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Answer

\( \log k^{3} = 3 \cdot \log k \)

Solution

Using the power rule for logarithms, log(k³) is rewritten as 3·log(k).

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Bonus Knowledge

You can apply the power rule of logarithms, which states that \( \log a^b = b \cdot \log a \). For the expression \( \log k^{3} \), this means you can rewrite it as \( 3 \cdot \log k \). It’s a neat trick that transforms what's inside the logarithm and simplifies your calculations! The power rule is super handy in various mathematical situations, especially when you need to manipulate large exponents for easier computation. For example, when solving exponential equations, using the power rule can substantially simplify your work and lead you to a quick solution. Embrace logarithms as your secret weapon in math!

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