Respuesta :

Answer:

[tex]y=\frac{1}{4}[/tex]

Step-by-step explanation:

First off this is the equation:

[tex]8^y=16^y+2[/tex]

then we can change the equation to look like this:

[tex](2^3)^y=(2^4)^y + 2\\[/tex]

then you can solve and find: [tex]y=\frac{1}{4}[/tex]