In 3–5 sentences, describe the process for establishing the inverse of a logarithmic function and what will be the resulting function.(4 points)

Answer 1

To establish the inverse of a logarithmic function, begin by expressing the logarithmic function in its standard form, such as \( y = \log_b(x) \), where \( b \) is the base. Next, interchange the variables \( x \) and \( y \) to obtain \( x = \log_b(y) \). Then, convert this logarithmic equation into its exponential form, yielding \( y = b^x \). The resulting function, which represents the inverse of the original logarithmic function, is the exponential function \( y = b^x \).