What Is the Inverse of an Exponential Function?

What Is the Inverse of an Exponential Function?

What Is the Inverse of an Exponential Function?

The inverse of an exponential function is a logarithm function. An exponential function written as f(x) = 4^x is read as "four to the x power." Its inverse logarithm function is written as f^-1(y) = log4y and read as "logarithm y to the base four."

While an exponential function denotes multiplying a number to a certain exponential power, a logarithm function denotes the exponent to which a base must be raised to produce a number. For example, because five to the third power is equal to 125, the log of three to the base of five is equal to 125.