Pregunta
Find the value of the logarithm \( \ln (e) \)
Ask by Schneider Wilson. in the United States
Feb 07,2025
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The value of \( \ln(e) \) is 1.
Solución
The natural logarithm function, denoted as \( \ln(x) \), is the inverse of the exponential function with base \( e \), where \( e \) is approximately equal to 2.71828.
To find \( \ln(e) \):
\[
\ln(e) = 1
\]
**Explanation:**
By definition, the natural logarithm satisfies the equation:
\[
\ln(e^1) = 1
\]
Since \( e^1 = e \), it follows that:
\[
\ln(e) = 1
\]
**Therefore, the value of \( \ln(e) \) is 1.**
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Simplifique esta solución Mind Expander
The logarithm \( \ln(e) \) equals 1. This is because the natural logarithm function, \( \ln(x) \), is defined as the power to which the base \( e \) must be raised to obtain \( x \). Since \( e^1 = e \), it follows that \( \ln(e) = 1 \). In practical terms, knowing that \( \ln(e) = 1 \) helps in solving more complex logarithmic equations, especially in fields such as calculus and exponential growth models. Whenever you encounter the natural logarithm of \( e \), you can confidently simplify \( \ln(e) \) to just 1 without any hesitation!
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