Final answer:
The antilog of x is the inverse operation of the logarithm, providing the original number N. For natural logarithms (ln), the antilog is e to the power of x. For common logarithms (log), the antilog is 10 to the power of x.
Step-by-step explanation:
If log N = x, then the antilog x essentially asks us to reverse the logarithmic function to find the original number N. Logarithms and exponentials are inverse functions, meaning they undo each other's operations. For instance, if we have the natural logarithm ln (ex) = x, the inverse operation would be ex, which gives us back the original number. Similarly, in base 10, the antilog of x is 10x. So, if you know the value of x as the logarithm of N, taking the antilog of x will give you N back.
To find the antilog using a calculator, if you have calculated the natural logarithm (ln) of a number, you would use the exponential function (ex) to revert back to the original number. For base 10 logarithms, which are more common in general mathematics, you would use 10x to find the antilog of a number. It is important to note that the exponential function and the logarithm are deeply interconnected and work as each other's opposites.