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{{ printedBook.courseTrack.name }} {{ printedBook.name }} To draw the graph of a logarithmic function, we can follow a three-step process.

- Identify the base.
- Determine points on the graph.
- Plot the points and sketch the graph.

Let's do it!

Looking at the given function, we can see that the base is $b=3.$ $f(x)=g_{3}(x) $

Using the base, we can identify three points on the graph of a logarithmic function. $(1,0),(b,1),and(b1 ,-1) $ Since we know that $b=3,$ we can immediately identify these points as follows. $(1,0),(3,1),and(31 ,-1) $

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

The graph depends on the value of the base $b.$ If $b>1,$ the curve increases. If $0<b<1,$ the curve decreases. Try it below!

$b>1$

$0<b<1$

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