Q.Evaluate $\ln e^5$.

The natural logarithm and the exponential function base $e$ are inverse operations, so $\ln e^x$ simplifies directly to $x$.

By the power law of logarithms applied to the natural logarithm:

Since $\ln e=1$ (the base raised to the power 1 gives itself):

$5\times1 = 5$ …

Forgetting that $\ln e=1$ specifically (treating $e$ as if it needed a numerical value substituted in, rather than recognising $\ln$ and $e^{(\cdot)}$ as exact inverse operations), which can lead …