Questions: Evaluate. Write your answer as a whole number or in simplest form. ln e^38 / 2 =

Evaluate. Write your answer as a whole number or in simplest form.
ln e^38 / 2 =
Transcript text: Evaluate. Write your answer as a whole number or in simplest form. \[ \frac{\ln e^{38}}{2}= \]
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Solution

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Solution Steps

To evaluate the expression \(\frac{\ln e^{38}}{2}\), we can use the property of logarithms that states \(\ln e^x = x\). This simplifies the expression to \(\frac{38}{2}\).

Step 1: Evaluate the Natural Logarithm

We start with the expression \(\frac{\ln e^{38}}{2}\). Using the property of logarithms, we know that \(\ln e^x = x\). Therefore, we can simplify the expression as follows: \[ \ln e^{38} = 38 \]

Step 2: Simplify the Expression

Now substituting back into the expression, we have: \[ \frac{\ln e^{38}}{2} = \frac{38}{2} \]

Step 3: Perform the Division

Next, we perform the division: \[ \frac{38}{2} = 19 \]

Final Answer

Thus, the final answer is \(\boxed{19}\).

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