The equation \ln(e) = 1 represents a fundamental property of logarithms. Here, \ln stands for the natural logarithm, which is the logarithm to the base e . The number e is an important mathematical constant approximately equal to 2.71828, and it arises frequently in calculus and exponential growth scenarios. In this equation, \ln(e) = 1 indicates that the natural logarithm of e is equal to 1. This means that e is the number that, when raised to the power of 1, equals itself. Thus, the natural logarithm effectively answers the question: "To what power must e be raised to obtain e ?" The answer is clearly 1.