How do you graph y log 2x?

Answer 1

y = log2 x is the inverse of the exponential function f(x) = 2x. It means its graph is a reflection of the graph of f(x) about the line y = x.

Let's find some coordinates for f(x), then reverse them.

We know the graph of an exponential function passes through (0, 1).

(0, 1) to (1, 0)

(1, 21) to (2, 1)

(-1, 2-1) to (1/2, -1)

(2, 22)] to (4, 2)

(-2, 2-2) to (1/4, -2)

(3, 23) to (8, 3)

Just plot the points and connect them with a smooth curve. Be careful, the y-axis is a vertical asymptote.