Question

If 8 Superscript y Baseline = 16 Superscript y + 2, what is the value of y?

Answer 1

A

Explanation:

good luck

Answer 2

It sounds like you're given

`8^y = 16^(y+2)`

and are asked to solve for y.

Notice that 8 = 2³ and 16 = 2⁴, so you can rewrite both sides with a common base:

`8^y = 16^(y+2) \\\\ (2^3)^y = (2^4)^(y+2) \\\\ 2^(3y) = 2^(4(y+2)) = 2^(4y+8)`

The bases match, so the exponents must be equal:

3y = 4y + 8

Solve for y :

3y - 4y = 8

-y = 8

y = -8