Question

what is the value of \ln e^4?

\bigcirc 0
\bigcirc 1
\bigcirc 2
\bigcirc 4

Explanation:

⚡ Using what you learned: Evaluating Logarithmic Expressions

Step 1: Apply the definition of natural logarithm

The natural logarithm \(\ln(x)\) is the logarithm with base \(e\):

$$ \ln(e^4) = \log_{e}(e^4) $$

Step 2: Simplify using logarithm properties

Using the identity \(\log_{b}(b^x) = x\):

$$ \log_{e}(e^4) = 4 $$

Answer:

4