Question
Evaluate. \( \ln \left(e^{6}\right)=\square \)
Ask by Ruiz Whittaker. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \ln(e^{6}) = 6 \)
Solution
1. Write the expression:
\[
\ln\left(e^6\right)
\]
2. Use the logarithm property:
\[
\ln\left(e^x\right) = x
\]
Setting \( x = 6 \), we have:
\[
\ln\left(e^6\right) = 6
\]
3. Therefore:
\[
\boxed{6}
\]
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Simplify this solution Extra Insights
To evaluate \( \ln \left(e^{6}\right) \), we can use the property of logarithms that states \( \ln(e^x) = x \). Thus, we have: \[ \ln \left(e^{6}\right) = 6 \] So, \( \square = 6 \).
