Question

if (2, 200) lies on the line f(x) =20^x, then what reflection point lies on the line g(x)=log_20 x?

Answer 1

Reflection across the line y = x swaps coordinates. So a point (x, y) on f(x) = 20^x corresponds to (y, x) on its inverse g(x) = log_20 x.

Thus the reflected point is (200, 2).

(Strictly speaking, (2,200) is not actually on y = 20^x since 20^2 = 400, but if that point were on f, its inverse point would be (200,2).)