Questions: 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.
\[
\frac{\ln e^{38}}{2}=
\]
Solution
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:
\[
\frac{38}{2} = 19
\]