The domain of a natural logarithm function, ln(x), is all positive real numbers.
No, the natural logarithm function, ln(x), is only defined for positive real numbers. It is undefined for negative numbers and zero.
To find the domain of a natural logarithm function, you need to look for any restrictions on the input variable. If there are no restrictions, then the domain is all positive real numbers. If there are restrictions, such as a denominator cannot be equal to zero, then those values must be excluded from the domain.
Yes, there are two special cases when finding the domain of a natural logarithm function. The first is when the input variable is inside the logarithm. In this case, the input must be greater than zero. The second is when the natural logarithm function is inside another function. In this case, the entire input of the inner function must be greater than zero.
No, the natural logarithm function, ln(x), is only defined for positive real numbers. It cannot be extended to include negative numbers or complex numbers.