Simplify the following natural logarithm with the non-zero constant $a$.
\[
\ln \left(e^{-1 / a}\right)
\]
Answer:

Answer

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Answer

So, the simplified form of the given natural logarithm is $\boxed{-\frac{1}{a}}$.

Steps

Step 1 ：Given the natural logarithm $\ln \left(e^{-1 / a}\right)$.

Step 2 ：The natural logarithm and the exponential function are inverse functions. Therefore, the natural logarithm of an exponential function simplifies to the exponent of the exponential function.

Step 3 ：In this case, the exponent is $-1/a$.

Step 4 ：So, the simplified form of the given natural logarithm is $\boxed{-\frac{1}{a}}$.

Simplify the following natural logarithm with the non-zero constant $a$.\[\ln \left(e^{-1 / a}\right)\]Answer:

Answer

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Simplify the following natural logarithm with the non-zero constant $a$.
\[
\ln \left(e^{-1 / a}\right)
\]
Answer: