The point (6,1) lies on the graph of the function h(x)=log6 x ( 6 is the base of x) . What point (not an intercept) is guaranteed to be on the graph of the function k(x)=6^x ?(1 point)

1 answer

To find a point on the graph of k(x) = 6^x, we can use the fact that h(x) = log6 x is the inverse of k(x) = 6^x.

Since the point (6, 1) lies on the graph of h(x) = log6 x, this means that h(1) = log6 1 = 0.

Since h(x) is the inverse of k(x), this implies that k(0) = 1.

Therefore, the point (0, 1) is guaranteed to be on the graph of k(x) = 6^x.