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Evaluate. Write your answer as a whole number, proper fraction, or improper fraction in simplest form. $\newline$ $\frac{\ln (e)}{10} =$ ______

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Evaluate natural logarithms

Full solution

Q. Evaluate. Write your answer as a whole number, proper fraction, or improper fraction in simplest form.

\newline

\frac{\ln (e)}{10} =

______

Evaluate expression: We need to evaluate the expression $\frac{\ln(e)}{10}$ . The natural logarithm of $e$ , denoted as $\ln (e)$ , is a special value in mathematics. The natural logarithm function is the inverse of the exponential function, so $\ln(e)$ is asking for the power to which $e$ must be raised to get $e$ . Since $e$ to the power of $1$ is $e$ , $\ln(e)$ equals $1$ .
Substitute $\ln(e)$ value: Now that we know $\ln(e)$ equals $1$ , we can substitute this value into our original expression. $\newline$ So, $\frac{\ln(e)}{10}$ becomes $\frac{1}{10}$ .
Simplify fraction: The fraction $\frac{1}{10}$ is already in its simplest form. There is no common factor between the numerator and the denominator other than $1$ , so it cannot be simplified further.

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