Pregunta
Expand the logarithm. Assume all expressions exist and are well-defined. Write your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable. logwyx
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Jan 15,2025
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\[
\log w + \log y + \log x
\]
Solución
To expand the logarithm \(\log(wyx)\), you can use the property of logarithms that states:
\[
\log(ABC) = \log A + \log B + \log C
\]
Applying this property to \(\log(wyx)\):
\[
\log(wyx) = \log w + \log y + \log x
\]
**Final Answer:**
\[
\log w\,+\,\log y\,+\,\log x
\]
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Simplifique esta solución Bonus Knowledge
To expand the logarithm \( \log(wyx) \), we can use the properties of logarithms. Specifically, the logarithm of a product can be expressed as the sum of the logarithms of the individual factors. Thus, we have: \[ \log(wyx) = \log(w) + \log(y) + \log(x) \] This expression breaks down the logarithm of the product \( wyx \) into the sum of the logarithms of the distinct constants or variables \( w \), \( y \), and \( x \).
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