Question

the point (1, 13) lies on the line f(x)=13^x. the function g(x)=log down 13 x includes a point of reflection across the line y=x that lies on the line g(x)=log down 13 x. In which quadrant of the coordinate plane is this point located? RESPONSES: Quadrant IV, Quadrant III, Quadrant II, or Quadrant I

Answer 1

Reflecting across the line y = x swaps coordinates, so (1, 13) becomes (13, 1). Both coordinates are positive, so that point is in Quadrant I.