In 1-2 sentences, describe the geometric relationship between f(x) = 30* and

Question

g(x) = log30 x as it would be represented on a graph.

Answer 1

The graph of \( f(x) = 30^x \) is an exponential function that increases rapidly as \( x \) increases, while the graph of \( g(x) = \log_{30} x \) is a logarithmic function that increases slowly and is defined for \( x > 0 \). The two functions are reflections of each other across the line \( y = x \), indicating that \( g(x) \) is the inverse of \( f(x) \).