The expression \( \ln e^6 \) can be simplified using the properties of logarithms. One of the key properties is that the natural logarithm of the base \( e \) raised to any power \( x \) is equal to that power \( x \). In mathematical terms, this is expressed as:
\[ \ln e^x = x \]
Applying this property to your expression:
\[ \ln e^6 = 6 \]
Therefore, the value of \( \ln e^6 \) is \( 6 \).