Graphing Logarithmic Functions

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We can graph a logarithmic function by using the fact that the inverse of a logarithmic function is an exponential function.

Heres the procedure to graph a logarithmic function.

Procedure To Graph a Logarithmic Function

Step 1 Rewrite y = log_bx in exponential form, x = b^y.

Step 2 Switch x and y to get y = b^x.

Step 3 Calculate ordered pairs.

Step 4 Exchange the x- and y-coordinates.

Step 5 Graph the new ordered pairs.

Note:

If you need to graph a function that is in the form y = log_bx, first rewrite it in exponential form.