Answer:
Required logarithmic function is :
[tex]f\left(x\right)=\log_3\left(x\right)[/tex]
Step-by-step explanation:
Given that table for the logarithmic function is:
x f(x)
9 2
27 3
81 4
which can be rewritten as:
x f(x)
3^2 2
3^3 3
3^4 4
Which are basically powers of 3
Hence required logarithmic function is :
[tex]f\left(x\right)=\log_3\left(x\right)[/tex]
