Question

If 8^y = 16^y+2, what is the value of y?
0 -8
0 -4
0 -2
O −1

Answer 1

Solving exponential Equations:

1. express both sides in terms of the same base

`(2^3)^y=(2^4)^y^+^2`

`2^3^y=2^4^y^+^8`

2. Once they are the same base, equate the exponents

`3y=4y+8`

3. isolate for a variable to solve

• using inverse operations

`3y-3y=4y-3y+8`

`0-8=y+8-8`

`-8=y`

The first option where y = - 8 is correct.