Respuesta :

Answer:

f(9) = 2

Explanation:

To know what if f(9), we need to replace x by 9 on the equation of f(x), so:

[tex]\begin{gathered} f(x)=\log _3x \\ f(9)=\log _39 \end{gathered}[/tex]

Then, the logarithm needs the number at which 3 to the power of this number is equal to 9.

Therefore:

[tex]f(9)=\log _39=2[/tex]

Because:

[tex]3^2=9[/tex]

So, the answer is:

f(9) = 2