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# Graphing Logarithmic Functions

## Exercise 1.17 - Solution

To draw the graph of a logarithmic function, we can follow a three-step process.

1. Identify the base.
2. Determine points on the graph.
3. Plot the points and sketch the graph.

Let's do it!

### Identifying the Base

Looking at the given function, we can see that the base is

### Determining Points on the Graph

Using the base, we can identify three points on the graph of a logarithmic function. Since we know that we already have that Let's now calculate
Simplify

### Plotting the Points and Sketch the Graph

Finally, we will plot the three points and connect them with a smooth curve.

### Extra

Useful Theory

The graph depends on the value of the base If the curve increases. If the curve decreases. Try it below!

Reset