SOLUTION: Plot the graph of the following function f(x) = log3^x

Algebra.Com
Question 150438: Plot the graph of the following function
f(x) = log3^x
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Table of Contents:

Table
Graph


In order to plot , we need to plot some points. To do that, we need to plug in some x values to get y values



Start with the given equation.


Plug in


Evaluate the right side with a calculator


So when , which makes the point (1,0)



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

Let's find another point


Start with the given equation.


Plug in


Evaluate the right side with a calculator


So when , which makes the point (2,0.631)



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

Let's find another point


Start with the given equation.


Plug in


Evaluate the right side with a calculator


So when , which makes the point (3,1)



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

Let's find another point


Start with the given equation.


Plug in


Evaluate the right side with a calculator


So when , which makes the point (4,1.262)


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

Let's find another point


Start with the given equation.


Plug in


Evaluate the right side with a calculator


So when , which makes the point (5,1.465)




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

Let's find another point


Start with the given equation.


Plug in


Evaluate the right side with a calculator


So when , which makes the point (6,1.631)



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

Let's find another point


Start with the given equation.


Plug in


Evaluate the right side with a calculator


So when , which makes the point (7,1.771)




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

Let's find another point


Start with the given equation.


Plug in


Evaluate the right side with a calculator


So when , which makes the point (8,1.893)




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

Let's find another point


Start with the given equation.


Plug in


Evaluate the right side with a calculator


So when , which makes the point (9,2)



========================================================

Now let's make a table of the values we just found.





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Table of Values:


TEST: 1



xy
10


20.631


31


41.262


51.465


61.631


71.771


81.893


92

Now let's plot the points:







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Graph:


Now draw a curve through all of the points to graph :


Graph of

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