For the following statements, enter T if they are true and F if they are false. Logarithms and exponentials can be defined for complex numbers, and then can assume complex function values, but in the questions below concerning domain and range, let's consider only real numbers.

The natural exponential is the reciprocal of the natural logarithm.
The natural exponential is the inverse of the natural logarithm.
The natural exponential is the negative of the natural logarithm.
The domain of the natural logarithm is the set of all positive numbers.
The domain of the natural logarithm is the set of all real numbers.
The domain of the natural exponential is the set of all positive numbers.
The domain of the natural exponential is the set of all real numbers.