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.