Question

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

Answer 1

Step 1: Write out the equation

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

Step 2: Write 8 and 16 in terms of powers of 2

`\begin{gathered} (2^3)^y=(2^4)^(y+2) \\ \text{ Therefore} \\ 2^(3y)=2^(4(y+2)) \\ =2^(4y+8) \end{gathered}`

Hence,