Question

How do you graph `y = log_3 (x - 2)`?

Answer 1

Use the inverse relation #x=2+3^y and plot {(2+3^y, y)}. A short Table appears in the explanation.

Explanation:

The inverse relation is `x = 2 + 3^y`

Now plot points `(x, y)=(2+3^y, y)` and make a smooth curve .

A short Table for guidance:

#(x, y): (3, 0) (5, 1) (11, 3) (29, 3) (93, 4) (245, 5) ... (59051, 10)

The exponential growth of x is visualized.