Question

6^2016:x+2^2016=2^2018

Answer 1

$6^{2016}:x+2^{2016}=2^{2018} \\ 6^{2016}:x=2^{2018}-2^{2016} \\ 6^{2016}:x=2^{2016}(2^2-1) \\ 6^{2016}:x=2^{2016}\cdot3 \\ x= \dfrac{6^{2016}}{2^{2016}\cdot3} \\ x= \dfrac{(2\cdot3)^{2016}}{2^{2016}\cdot3} \\ x= \dfrac{\not2^{\not{2\not0\not1\not6}}\cdot3^{2016}}{\not2^{\not2\not0\not1\not6}\cdot3} \\ x= \dfrac{3^{2016}}{3} =\ \textgreater \ x=3^{2015}$