Question

How do you graph `y=log_(1/2)x`?

Answer 1

Map x against y using `x = (1/2)^y, y = ...-4, -3, -2, -1, 0, 1, 2, 3, 4, ..`.

Explanation:

The inverse relation is `x = (1/2)^y`.

Use the Table

`(x, y) = ((1/2)^y, y):`

...`(16,-41) (8, -3) (4, -2) (2, -1) (1, 0)`

`, (1/2, 1) (1/4, 2) (1/8, 3) (1/16, 4) ...,`