The given statement is False. A logarithmic equation is the inverse of an exponential function.
What are logarithmic and exponential functions?
The graph of the inverse function is a reflection about the line y = x from the graph of the function.
Apart from these the domain of the inverse function is the range of the function and the range of the inverse function is the domain of the function.
Let us graph the functions [tex]y=e^x[/tex] and y = ln(x).
The exponential function always passes through the point (0,1) and the logarithm function passes through the point (1,0).
From the graph, we can see that the graph of the exponential function is the reflection of the line y=x.
Hence, the exponential function is the inverse of a logarithmic function.
Therefore, the given statement is False. A logarithmic equation is the inverse of an exponential function.
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