Question

find the indicated value of the logarithmic function.
ln(1)

Explanation:

Step1: Recall the property of logarithms

The natural logarithm function \( \ln(x) \) is the logarithm with base \( e \), i.e., \( \ln(x)=\log_{e}(x) \). One of the key properties of logarithms is that \( \log_{a}(1) = 0 \) for any positive real number \( a
eq1 \), because \( a^{0}=1 \) for any \( a>0,a
eq1 \).

Step2: Apply the property to \( \ln(1) \)

Since \( \ln(x)=\log_{e}(x) \) and using the property \( \log_{a}(1) = 0 \) with \( a = e \), we have \( \ln(1)=\log_{e}(1)=0 \).

Answer:

\( 0 \)