For this case we have the following expression:
[tex]8 ^ y = 16^{ y + 2}[/tex]
We know that:
[tex]8 = 2 * 2 * 2 = 2 ^ 3\\16 = 2 * 2 * 2 * 2 = 2 ^ 4[/tex]
Rewriting the expression we have:
[tex]2^{ 3(y)} = 2^ {4 (y + 2)}\\2^{3y} = 2^{4y + 8}[/tex]
For equality to be met we have to:
[tex]3y = 4y + 8\\3y-4y = 8\\-y = 8\\y = -8[/tex]
ANswer:
The value of the variable "y" is -8.
Option A
