9 please help! please only real answers; will report

9 Please Help Please Only Real Answers Will Report class=

Sagot :

Given:

The function is

[tex]f(x)=\log_5(x)[/tex]

To find:

The graph of the given function.

Solution:

We have,

[tex]f(x)=\log_5(x)[/tex]

At x=1,

[tex]f(1)=\log_5(1)[/tex]

[tex]f(1)=0[/tex]        [tex][\because \log_a(1)=0, a>0][/tex]At x=5,

[tex]f(5)=\log_5(5)[/tex]

[tex]f(5)=1[/tex]      [tex][\because \log_aa=1][/tex]

So, the graph of given function passes through the points (1,0) and (5,1). Only graph in option A passes through these two points.

Therefore, the correct option is A.