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evaluate or simplify ln e

Question

evaluate or simplify
ln e

Explanation:

Step1: Recall the definition of natural logarithm

The natural logarithm function $\ln(x)$ is the inverse of the exponential function $e^x$. By the property of inverse functions, for any positive real number $x$, $\ln(e^x)=x$ and $e^{\ln(x)} = x$.

Step2: Apply the property to $\ln(e)$

In the expression $\ln(e)$, we can think of it as $\ln(e^1)$ (since $e = e^1$). Using the property $\ln(e^x)=x$, when $x = 1$, we have $\ln(e^1)=1$.

Answer:

1