The natural logarithm of 0 is undefined. The natural logarithm function, denoted as ln(x), is only defined for positive real numbers. As x approaches 0 from the positive side, ln(x) tends to negative infinity. However, ln(0) itself does not exist because there is no real number that you can raise e (the base of the natural logarithm) to in order to get 0. In mathematical terms, ln(0) is undefined.
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