Question

Which points lie on the graph of f(x) = loggx?
Check all that apply.

Answer 1

9514 1404 393

Answer:

C, E, F

Explanation:

The equation f(x) = log₉(x) can be rewritten as ...

x = 9^y

This form makes it relatively easy to check the given points.

A. 9^2 = 81 ≠ -1/81

B. 9^1 = 9 ≠ 0

C. 9^-1 = 1/9 . . . . one of the points of interest (1/9, -1)

D. 9^243 = <very big number> ≠ 3

E. 9^1 = 9 . . . . one of the points of interest (9, 1)

F. 9^2 = 81 . . . . one of the points of interest (81, 2)