Respuesta :

Answer:

[tex]6 = y[/tex]

Step-by-step explanation:

[tex]log_a[b] = exponent[/tex]

[tex]log_2[8] = x[/tex]

This means you have to figure how many times to multiply the base of 2 by, to get 8, and this number would be 3:

[tex]log_2[8] = 3[/tex]

Now, plug 3 into the direct variation equation of [tex]y = 2x[/tex]:

[tex]2[3] = y \\ \\ 6 = y[/tex]

I am joyous to assist you anytime.