Respuesta :

Answer:

the first table

Step-by-step explanation:

We see that the first table represents the logarithmic function [tex]y = \log_2x[/tex], so it's the first table.

The first table represents the graph of a logarithmic function in the form y=log _(b)x.

What is a logarithm?

Exponentiation's inverse function is the logarithm. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given table has data where y is a function of x;

y=F(x)

[tex]y=log _{b}x \\\\ -2 = log _{b}\frac{1}{4} \\\\ \frac{1}{4} = log _{b}{-2} \\\\ -1= log _{b}\frac{1}{2} \\\\ 0=log _{b}1 \\\\ 1=log _{b}2[/tex]

Hence the first table represents the graph of a logarithmic function in the form y=log _(b)x.

To learn more about the logarithm refer to the link;

https://brainly.com/question/7302008