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,

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