Which of these could be the graph of F(x) = log2 x?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
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The graph of f(x) is shown by figure A.
We have given that the function,
[tex]f(x)=log_2x[/tex]
We have to determine the graph ofthe given function
We have to find the co-ordinate of the given finction
We have to put one variable value that is any real number and by using this value find the value of another variable.
[tex]y=f(x)=log_2x[/tex]
[tex]y=log_2x[/tex]
Put x=1
[tex]y=log_2(1)\\y=0[/tex]
We get the point A(1,0)
put x=2
[tex]y=log_2(2)\\y=1[/tex]
We get the point B(2,1)
Put x=4
[tex]y=log_2(4)\\y=2[/tex]
We get the point C(4,2)
So we plot this point on coordinate system so we get the graph
as shown below
Therefore the option A is correct.
To learn more about the graph of logarithumic function visit:
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