evaluate. write your answer as a whole number, proper fraction, or improper fraction in simplest form. ln…

evaluate. write your answer as a whole number, proper fraction, or improper fraction in simplest form. ln e^10 =

evaluate. write your answer as a whole number, proper fraction, or improper fraction in simplest form. ln e^10 =

Answer

Explanation:

Step1: Recall logarithm - exponential property

The natural logarithm $\ln(x)$ and the exponential function $e^x$ are inverse functions. That is, if $y = \ln(x)$, then $x=e^y$, and $\ln(e^x)=x$ for all real - valued $x$.

Step2: Apply the property

In the expression $\ln(e^{10})$, by the inverse - function property of $\ln$ and $e^x$, when $x = 10$, we have $\ln(e^{10})=10$.

Answer:

$10$