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Example

Graph y = log_{2}x.

Solution

Step 2 Switch x and y.

Step 3 Calculate ordered pairs.

y = 2^{x}

Step 4 Exchange the x- and y- coordinates.

The new coordinates are (4, 2), and (16, 4).

Step 5 Graph the new ordered pairs.

Notice that the graph of y = log_{2}x is the reflection about the line y = x of y = 2^{x}.