what is the inverse of ln

The inverse of the natural logarithm function, ln(x), is the exponential function, e^x. This means that if we have f(x) = ln(x), then the inverse function, denoted as f^-1(x), is e^x. In other words, if we apply the natural logarithm to the exponent of x, we get x, and if we apply the exponential function to the natural logarithm of x, we also get x. This relationship is expressed as f(f^-1(x)) = e^(ln(x)) = x and f^-1(f(x)) = ln(e^x) = x/10%3A_Exponential_Functions/10.03%3A_Inverse_Functions_and_Logarithms).