SOLUTION: Graph f(x) = log3x

Question 173131: Graph f(x) = log3x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to graph , we need to plot some points:

Note: I'll use "y" in place of f(x)

Let's find the y value when

Start with the given equation

Plug in

Use a calculator to evaluate log base 3 of 1 to get 0

So when , then

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Let's find the y value when

Start with the given equation

Plug in

Use a calculator to evaluate log base 3 of 2 to get 0.63093

So when , then

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Let's find the y value when

Start with the given equation

Plug in

Use a calculator to evaluate log base 3 of 3 to get 1

So when , then

-----------------------------------------------

Let's find the y value when

Start with the given equation

Plug in

Use a calculator to evaluate log base 3 of 4 to get 1.26186

So when , then

-----------------------------------------------

Let's find the y value when

Start with the given equation

Plug in

Use a calculator to evaluate log base 3 of 5 to get 1.46497

So when , then

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So we have the following values:

x	y
1	0
2	0.63093
3	1
4	1.26186
5	1.46497

Now let's plot these points

Now draw a curve through those points to graph

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