The general form of an exponential function can be expressed as y=a*b^x, in which 'a' represents a constant, 'b' identifies the base, and 'x' assumes the role of the exponent. Conversely, logarithmic functions, serving as the inverse of exponential functions, are represented by the equation y=log_b(x), where 'b' denotes the base. These particular functions play a pivotal role in various fields of mathematics and applied sciences.