QuestionSimplify the expression without using a calculator. $$\ln e^{a^{2}+8}=$$ $\square$ n口 $e$

Studdy Solution
Recognize the logarithmic identity: $\ln(e^x) = x$.
Apply this identity to the given expression:
$\ln(e^{a^2 + 8}) = a^2 + 8$
This step uses the fact that the natural logarithm and the exponential function are inverse functions.
The simplified expression is:
$\boxed{a^2 + 8}$