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

Jul 29, 2016

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 $\left(x , y\right) = \left(2 + {3}^{y} , y\right)$ 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.