1. The problem is to understand and evaluate \(\log_e\), which is the logarithm base \(e\) (known as the natural logarithm).\n\n2. The notation \(\log_e x\) is commonly written as \(\ln x\), where \(e\) is the mathematical constant approximately equal to 2.71828.\n\n3. The function \(\ln x\) answers the question: "To what power must we raise \(e\) to get \(x\)?" In other words, if \(y = \ln x\), then \(e^y = x\).\n\n4. For example, \(\ln e = 1\) because \(e^1 = e\) and \(\ln 1 = 0\) because \(e^0 = 1\).\n\n5. The natural logarithm only accepts positive arguments \(x > 0\).\n\nFinal answer: \(\log_e x = \ln x\).