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What is the value of
ln e^(3) ?
Answer:

What is the value of $\ln e^{3}$ ? $\newline$ Answer:

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Evaluate rational exponents

Full solution

Q. What is the value of

\ln e^{3}

?

\newline

Answer:

Understand Properties: Understand the properties of logarithms and exponents. $\newline$ The natural logarithm function $\ln(x)$ is the inverse of the exponential function $e^x$ . Therefore, $\ln(e^x) = x$ for any real number $x$ .
Apply Property: Apply the property to the given problem. $\newline$ Since $\ln(e^x) = x$ , we can directly apply this to $\ln(e^3)$ to get the value of $3$ .
Write Final Answer: Write down the final answer. $\newline$ The value of $\ln(e^3)$ is $3$ .

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