Question

The point (0.36, 2) lies on the graph f(x)= log_0.6 x. What is the corresponding point on the graph of g(x)=0.6^x

Answer 1

Since y = log_{0.6}(x) and x = 0.6^y, the graphs are inverses, so swap coordinates. The corresponding point on g(x)=0.6^x is (2, 0.36) (because 0.6^2 = 0.36).