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\( 1 \leftarrow \quad \) Write the following expression as a sum and/or difference of logarithms. Express powers as factors.

Ask by May Lambert. in the United States
Jan 22,2025

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Please provide the logarithmic expression you want to rewrite, and I'll help you express it as a sum and/or difference of logarithms with powers as factors.

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Bonus Knowledge

To rewrite the expression using logarithmic properties, let's consider an expression like \( \log(a^b) + \log(c) \). You can express it as \( b \cdot \log(a) + \log(c) \). By applying the power rule of logarithms, we can transform the power in front of the log into a factor multiplied by the log. Now, if we have a multiplication, such as \( \log(a) + \log(b) \), it becomes \( \log(ab) \), while division translates to \( \log(a) - \log(b) = \log\left(\frac{a}{b}\right) \). These configurations help in breaking down complex logarithmic expressions into sum and difference forms!

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