Question

2^2x=8^x+2

Answer 1

\[\large 2^{2x}=8^{x+2}\]


\[\large 2^{2x}=(2^3)^{x+2}\]


\[\large 2^{2x}=2^{3(x+2)}\]


\[\large 2x=3(x+2)\]


\[\large 2x=3x+6\]


\[\large 2x-3x=6\]


\[\large -x=6\]


\[\large x=-6\]

Answer 2

x=-6